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Semenov, Mikhail E.; Karpov, Evgeny A.; Meleshenko, Peter A.

Hysteretic beam and temperature effect. (English) Zbl 07920658

Belhaq, Mohamed (ed.), Advances in nonlinear dynamics and control of mechanical and physical systems. Selected articles from CSNDD, Marrakesh, Morocco, May 15–17, 2023. Singapore: Springer. Springer Proc. Phys. 301, 237-254 (2024).

MSC: 74H15 74N30

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Deng, Panyu; Zheng, Jun; Zhu, Guchuan

Well-posedness and stability for a nonlinear Euler-Bernoulli beam equation. (English) Zbl 07919831

Commun. Anal. Mech. 16, No. 1, 193-216 (2024).

MSC: 35B35 35L35 35L76 74K10 93D05 93C73 93C10

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Wang, Renyuan; Zhang, Min

An analytical study on vortex-induced vibrations of cylinders with variable cross-section in the range of low Reynolds numbers. (English) Zbl 1542.74030

Int. J. Comput. Methods Eng. Sci. Mech. 25, No. 2, 45-55 (2024).

MSC: 74H45 74K10 74F10 74H15

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Sharma, Sachin; Sharma, Naina

A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations. (English) Zbl 07860039

Int. J. Comput. Math. 101, No. 2, 194-216 (2024).

MSC: 65M06 65M12 65M22 65Y20

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Lenci, Stefano; Sorokin, Sergey

On the static condensation of initially not rectilinear beams. (English) Zbl 1537.74206

ZAMM, Z. Angew. Math. Mech. 104, No. 2, Article ID e202300668, 13 p. (2024).

MSC: 74K10 74H10

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Kaur, Deepti; Mohanty, R. K.

High-order half-step compact numerical approximation for fourth-order parabolic PDEs. (English) Zbl 1534.65136

Numer. Algorithms 95, No. 3, 1127-1153 (2024).

MSC: 65M06 65M12

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Dias, Nuno Costa; Jorge, Cristina; Prata, João Nuno

Vibration modes of the Euler-Bernoulli beam equation with singularities. (English) Zbl 1530.35144

J. Differ. Equations 381, 185-208 (2024).

MSC: 35L30 35D30 46F10 74H45

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Mei, Zhan-Dong

Dynamic stabilization for a cascaded beam PDE-ODE system with boundary disturbance. (English) Zbl 1528.93189

Math. Methods Appl. Sci. 46, No. 9, 10167-10185 (2023).

MSC: 93D23 93C15 93C20 93C73 93B52

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Mei, Zhan-Dong; Mo, Yi-Lin

Output tracking for an Euler-Bernoulli beam equation with moment boundary control and shear boundary disturbance. (English) Zbl 1533.93315

Math. Methods Appl. Sci. 46, No. 1, 675-694 (2023).

MSC: 93C20 93D15 93C73

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Boyina, Kalyan; Piska, Raghu; Natarajan, Sundararajan

Nonlocal strain gradient model for thermal buckling analysis of functionally graded nanobeams. (English) Zbl 1523.74030

Acta Mech. 234, No. 10, 5053-5069 (2023).

MSC: 74G60 74K10 74F05 74E05 74G05

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Hossain, Selina; Das, Arijit; De, Soumen

The influence of flexible bottom on wave generation by an oscillatory disturbance in the presence of surface tension. (English) Zbl 1540.76024

Geophys. Astrophys. Fluid Dyn. 117, No. 3, 177-212 (2023).

MSC: 76B15 76B45 76M45 74F10

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Mei, Zhan-Dong; Peng, Ji-Gen

Exponential stabilization for an Euler-Bernoulli beam PDE-ODE cascade system. (English) Zbl 1520.93445

Syst. Control Lett. 177, Article ID 105552, 10 p. (2023).

MSC: 93D23 93C20 93C15 93B53 93B52

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Guo, Bao-Zhu; Zhao, Ren-Xi

Output regulation for Euler-Bernoulli beam with unknown exosystem using adaptive internal model. (English) Zbl 1527.93201

SIAM J. Control Optim. 61, No. 4, 2088-2113 (2023).

Reviewer: Vyacheslav I. Maksimov (Yekaterinburg)

MSC: 93C40 93B53 93C15 93C20

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Wang, Jingjing; Gao, Chenghua; Lu, Yanqiong

Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions. (English) Zbl 1522.34052

Quaest. Math. 46, No. 4, 641-669 (2023).

Reviewer: George Karakostas (Ioannina)

MSC: 34B18 34B15 34B27 34C05

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Radi, E.; Nobili, A.; Guler, M. A.

Indentation of a free beam resting on an elastic substrate with an internal lengthscale. (English) Zbl 1519.74052

Eur. J. Mech., A, Solids 100, Article ID 104804, 12 p. (2023).

MSC: 74M15 74K10 74G10

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Heibig, Arnaud; Krejčí, Pavel; Petrov, Adrien

Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load. (English) Zbl 1512.35152

Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3277-3293 (2023).

MSC: 35D30 35B45 35L25 49J40 74H20 74K10 74M10

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Tebou, Louis

Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component. (English) Zbl 1529.74015

J. Evol. Equ. 23, No. 2, Paper No. 26, 31 p. (2023).

Reviewer: Song Jiang (Beijing)

MSC: 74F10 74K10 74J99 74H40 35Q74

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Li, Wen; Sun, Weiming

Fourier methods in science and engineering. (English) Zbl 1520.42001

Boca Raton, FL: CRC Press (ISBN 978-1-032-04842-0/hbk; 978-1-032-04848-2/pbk; 978-1-003-19485-9/ebook). xv, 324 p. (2023).

Reviewer: Vladimir Vasilyev (Belgorod)

MSC: 42-01 42A20 42A38 42A16 35J25 00A06

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Burlon, Andrea; Failla, Giuseppe

On the band gap formation in locally-resonant metamaterial thin-walled beams. (English) Zbl 1512.74048

Eur. J. Mech., A, Solids 97, Article ID 104798, 20 p. (2023).

Reviewer: Angela Slavova (Sofia)

MSC: 74J05 74K10 74Q10

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Liu, Zhonghua; Dai, Jianyu

Random vibration of one-dimensional acoustic black hole beam. (English) Zbl 1526.74032

Pinto, Carla M. A. (ed.), Nonlinear dynamics and complexity. Mathematical modelling of real-world problems. Cham: Springer. Nonlinear Syst. Complex. 36, 259-300 (2022).

MSC: 74H50 74K10 74H10

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Tebou, Louis

Sharp decay estimates for semigroups associated with some one-dimensional fluid-structure interactions involving degeneracy. (English) Zbl 1498.93663

SIAM J. Control Optim. 60, No. 5, 2787-2810 (2022).

MSC: 93D23 93C20 35L05 35K65 74F10

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Kumar, Pravesh

Modal analysis of viscoelastic three-dimensional rotating beam with generic tip mass. (English) Zbl 1497.74029

Eur. J. Mech., A, Solids 96, Article ID 104734, 26 p. (2022).

MSC: 74H55 74H60 74K10 74D05

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Abels, Helmut; Ameismeier, Tobias

Convergence of thin vibrating rods to a linear beam equation. (English) Zbl 1493.74053

Z. Angew. Math. Phys. 73, No. 4, Paper No. 166, 28 p. (2022).

MSC: 74J30 74K10 74H10 74B20 35Q74

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Zhao, Dong; Jiang, Bin; Yang, Hao

Backstepping-based decentralized fault-tolerant control of hypersonic vehicles in PDE-ODE form. (English) Zbl 1537.93033

IEEE Trans. Autom. Control 67, No. 3, 1210-1225 (2022).

MSC: 93A14 93B35 93C20 93C15

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Romanov, Vladimir; Hasanov, Alemdar

Uniqueness and stability analysis of final data inverse source problems for evolution equations. (English) Zbl 1490.74055

J. Inverse Ill-Posed Probl. 30, No. 3, 425-446 (2022).

MSC: 74H75 74J25 74H25 74H20 74H55 35Q74

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Mei, Zhan-Dong

Dynamic stabilisation for an Euler-Bernoulli beam equation with boundary control and matched nonlinear disturbance. (English) Zbl 1485.93492

Int. J. Control 95, No. 3, 626-640 (2022).

MSC: 93D23 93C15 93C25 93C73 93B52

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Li, Yanfang; Chen, Hao; Xie, Yaru

Stabilization of an Euler-Bernoulli beam with distributed damping under time delays in the boundary. (English) Zbl 1482.35041

Acta Appl. Math. 177, Paper No. 5, 17 p. (2022).

MSC: 35B40 35L35 74K10

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Anjuna, D.; Sakthivel, K.; Hasanov, A.

Determination of a spatial load in a damped Kirchhoff-Love plate equation from final time measured data. (English) Zbl 1481.35392

Inverse Probl. 38, No. 1, Article ID 015009, 35 p. (2022).

MSC: 35R30 35L35 74K20 74H75

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Heibig, Arnaud; Petrov, Adrien

A dynamic Euler-Bernoulli beam equation frictionally damped on an elastic foundation. (English) Zbl 1483.74059

Nonlinear Anal., Real World Appl. 64, Article ID 103427, 13 p. (2022).

Reviewer: Udhayakumar Ramalingam (Vellore)

MSC: 74K10 74M15 74M10 74H20 35Q74

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Freundlich, Jan

Transient vibrations of a fractional Zener viscoelastic cantilever beam with a tip mass. (English) Zbl 1520.74028

Meccanica 56, No. 8, 1971-1988 (2021).

MSC: 74H45 74K10 74D05 74S40 74H15

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Ebrahimi, Farzad; Dabbagh, Ali

Magnetic field effects on thermally affected propagation of acoustical waves in rotary double-nanobeam systems. (English) Zbl 1517.74050

Waves Random Complex Media 31, No. 1, 25-45 (2021).

MSC: 74J10 74F15 74F05 74K10 74M25 74Q15 74E05

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Ren, Yanming; Qing, Hai

On the consistency of two-phase local/nonlocal piezoelectric integral model. (English) Zbl 1505.74057

AMM, Appl. Math. Mech., Engl. Ed. 42, No. 11, 1581-1598 (2021).

MSC: 74F15 74K10 74S99

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Zhao, Dong; Jiang, Bin; Yang, Hao; Tao, Gang

Control separation based fault accommodation for flexible hypersonic vehicles. (English) Zbl 1483.93537

Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 10, 2020-2033 (2021).

MSC: 93D25 93B52 93C95

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Oruç, Ömer; Esen, Alaattin; Bulut, Fatih

Numerical investigation of dynamic Euler-Bernoulli equation via 3-scale Haar wavelet collocation method. (English) Zbl 1488.65514

Hacet. J. Math. Stat. 50, No. 1, 159-179 (2021).

MSC: 65M70 65M06 65N35 65T60 74H45 35Q74

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Blaszczyk, Tomasz; Siedlecki, Jaroslaw; Sun, HongGuang

An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends. (English) Zbl 1508.35179

Appl. Math. Comput. 396, Article ID 125932, 9 p. (2021).

MSC: 35Q74

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Maqbul, Md.; Gupta, Nishi

Approximate solutions to Euler-Bernoulli beam type equation. (English) Zbl 1501.65052

Mediterr. J. Math. 18, No. 5, Paper No. 196, 17 p. (2021).

MSC: 65M20 65M15 35D35 35A01 35A02 35A35 74K10 35Q74

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Dias, Nuno Costa; Jorge, Cristina; Prata, João Nuno

Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler-Bernoulli beam equation. (English) Zbl 1468.34018

J. Dyn. Differ. Equations 33, No. 2, 593-619 (2021).

MSC: 34A30 34A06 34A36 74K10

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Zhou, Hua-Cheng; Feng, Hongyinping

Stabilization for Euler-Bernoulli beam equation with boundary moment control and disturbance via a new disturbance estimator. (English) Zbl 1464.37078

J. Dyn. Control Syst. 27, No. 2, 247-259 (2021).

MSC: 37L15 37N35 93D15 93B52

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Wei, Hui

Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients. (English) Zbl 1460.35112

Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105756, 13 p. (2021).

MSC: 35J25 35B10 35A01

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Amiot, F.

Constitutively optimal governing equations for higher-grade elastic beams. (English) Zbl 1479.74070

Eur. J. Mech., A, Solids 86, Article ID 104195, 21 p. (2021).

MSC: 74K10 74B99 74A20

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Wang, Lei; Chen, Yiming; Cheng, Gang; Barrière, Thierry

Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads. (English) Zbl 1495.74042

Chaos Solitons Fractals 140, Article ID 110255, 14 p. (2020).

MSC: 74K10 35R11 26A33 74S05 74H45 74H15

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Guo, Bao-Zhu; Ren, Han-Jing

Stability and regularity transmission for coupled beam and wave equations through boundary weak connections. (English) Zbl 1502.74063

ESAIM, Control Optim. Calc. Var. 26, Paper No. 73, 29 p. (2020).

MSC: 74K10 93D15 70J25 47D06

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Ruiz, Adrian; Muriel, Concepcion; Ramírez, J.

Parametric solutions to a static fourth-order Euler-Bernoulli beam equation in terms of Lamé functions. (English) Zbl 1453.34001

Ortegon Gallego, Francisco (ed.) et al., Recent advances in pure and applied mathematics. Based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, Cádiz, Spain, December 11–14, 2018. Cham: Springer. RSME Springer Ser. 4, 93-103 (2020).

MSC: 34A05 34A34 33E10 74K10

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Mei, Zhan-Dong

Disturbance estimator and servomechanism based performance output tracking for a 1-d Euler-Bernoulli beam equation. (English) Zbl 1435.93050

Automatica 116, Article ID 108925, 9 p. (2020).

MSC: 93B52 93D23 93C73

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Wang, Fei; Wang, Jun-Min

Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling. (English) Zbl 1436.93119

Syst. Control Lett. 138, Article ID 104664, 8 p. (2020).

MSC: 93D23 93C20 35L05

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Mitra, Sourav

Carleman estimate for an adjoint of a damped beam equation and an application to null controllability. (English) Zbl 1431.93009

J. Math. Anal. Appl. 484, No. 1, Article ID 123718, 29 p. (2020).

Reviewer: Krishnan Balachandran (Coimbatore)

MSC: 93B05 93C20

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Baglan, Irem

Fourier method for inverse coefficient Euler-Bernoulli beam equation. (English) Zbl 1487.35437

Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 514-527 (2019).

MSC: 35R30 35B35 35L76

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Garau, M.; Nieves, M. J.; Jones, I. S.

Alternating strain regimes for failure propagation in flexural systems. (English) Zbl 1475.74107

Q. J. Mech. Appl. Math. 72, No. 3, 305-339 (2019).

MSC: 74R10 74K10

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Ruiz, Adrian; Muriel, Concepcion; Ramírez, J.

Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation. (English) Zbl 1524.34005

Commun. Nonlinear Sci. Numer. Simul. 69, 261-269 (2019).

MSC: 34A05 34C14 34C20 74K10

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Yang, Kun-Yi; Wang, Jun-Min

Pointwise feedback stabilization of an Euler-Bernoulli beam in observations with time delay. (English) Zbl 1437.35198

ESAIM, Control Optim. Calc. Var. 25, Paper No. 4, 23 p. (2019).

MSC: 35J10 93C20 93C25

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Gao, Kang; Gao, Wei; Wu, Binhua; Song, Chongmin

Nondeterministic dynamic stability assessment of Euler-Bernoulli beams using Chebyshev surrogate model. (English) Zbl 1481.74437

Appl. Math. Modelling 66, 1-25 (2019).

MSC: 74K10

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Fournié, Michel; Ndiaye, Moctar; Raymond, Jean-Pierre

Feedback stabilization of a two-dimensional fluid-structure interaction system with mixed boundary conditions. (English) Zbl 1435.93146

SIAM J. Control Optim. 57, No. 5, 3322-3359 (2019).

Reviewer: Tobias Breiten (Graz)

MSC: 93D15 35Q30 93C20

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Guo, Wei; Zhou, Hua-Cheng

Adaptive error feedback regulation problem for an Euler-Bernoulli beam equation with general unmatched boundary harmonic disturbance. (English) Zbl 1421.93071

SIAM J. Control Optim. 57, No. 3, 1890-1928 (2019).

MSC: 93C40 93B52 93C20 35B35 35P10 74K10

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Migda, Janusz; Migda, Małgorzata; Zdanowicz, Małgorzata

Asymptotic properties of solutions to fourth order difference equations. (English) Zbl 1416.39001

J. Comput. Appl. Math. 362, 68-82 (2019).

MSC: 39A10 39A22

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Mohanty, R. K.; Kaur, Deepti

Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions. (English) Zbl 1480.65218

Appl. Math. Modelling 55, 281-298 (2018).

MSC: 65M06 65M12 74H45

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Li, Yanfang; Liu, Zhuangyi; Wang, Yang

Weak stability of a laminated beam. (English) Zbl 1421.35023

Math. Control Relat. Fields 8, No. 3-4, 789-808 (2018).

MSC: 35B35 93D05 74K10 47D06 35B40 35L57

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Jena, S. K.; Chakraverty, Snehashish

Solving fuzzy static structural problems using symmetric group method. (English) Zbl 1458.74144

Chakraverty, Snehashish (ed.) et al., Recent advances in applications of computational and fuzzy mathematics. Singapore: Springer. 95-107 (2018).

MSC: 74S99 74K10 22E70

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Liaskos, Konstantinos B.; Pantelous, Athanasios A.; Kougioumtzoglou, Ioannis A.; Meimaris, Antonios T.

Implicit analytic solutions for the linear stochastic partial differential beam equation with fractional derivative terms. (English) Zbl 1408.60052

Syst. Control Lett. 121, 38-49 (2018).

MSC: 60H15 93E03 74K10 35R11

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Liu, Chein-Shan; Jhao, Wun-Sin; Chang, Chih-Wen

A simple noniterative method for recovering a space-dependent load on the Euler-Bernoulli beam equation. (English) Zbl 1451.74136

Math. Methods Appl. Sci. 41, No. 17, 7641-7654 (2018).

MSC: 74K10 74S99

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Karagiannis, Dimitri; Radisavljevic-Gajic, Verica

Sliding mode boundary control for vibration suppression in a pinned-pinned Euler-Bernoulli beam with disturbances. (English) Zbl 1400.93115

J. Vib. Control 24, No. 6, 1109-1122 (2018).

MSC: 93C20 74K10 74H45

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Mirzaei, Hanif

A family of isospectral fourth order Sturm-Liouville problems and equivalent beam equations. (English) Zbl 1395.34032

Math. Commun. 23, No. 1, 15-27 (2018).

MSC: 34B24 74K10 34L05

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Zhou, Hua-Cheng; Feng, Hongyinping

Disturbance estimator based output feedback exponential stabilization for Euler-Bernoulli beam equation with boundary control. (English) Zbl 1387.93135

Automatica 91, 79-88 (2018).

MSC: 93D21 74K10 93B07

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Wang, Xinwei

Novel differential quadrature element method for vibration analysis of hybrid nonlocal Euler-Bernoulli beams. (English) Zbl 1469.74132

Appl. Math. Lett. 77, 94-100 (2018).

MSC: 74S99 74H15 74H45 74K10

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Zhu, Xiaowu; Wang, Yuanbin; Dai, Hui-Hui

Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. (English) Zbl 1423.74360

Int. J. Eng. Sci. 116, 130-140 (2017).

MSC: 74G60 74K10

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Li, Yanfang; Xu, Genqi; Han, Zhongjie

Stabilization of an Euler-Bernoulli beam system with a tip mass subject to non-uniform bounded disturbance. (English) Zbl 1397.93170

IMA J. Math. Control Inf. 34, No. 4, 1239-1254 (2017).

MSC: 93D15 93E10 93C73 93B10 74H45 74K10

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Li, Yanfang; Xu, Genqi

Stabilization of an Euler-Bernoulli beam with a tip mass under the unknown boundary external disturbances. (English) Zbl 1381.93084

J. Syst. Sci. Complex. 30, No. 4, 803-817 (2017).

MSC: 93D15 74K10 93C10 93C20 35L20

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Kawano, Alexandre

Uniqueness in the determination of unknown coefficients of an Euler-Bernoulli beam equation with observation in an arbitrary small interval of time. (English) Zbl 1398.35290

J. Math. Anal. Appl. 452, No. 1, 351-360 (2017).

MSC: 35R30 35A02 35K35 35Q74 74K10

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Achouri, Zineb; Amroun, Nour Eddine; Benaissa, Abbes

The Euler-Bernoulli beam equation with boundary dissipation of fractional derivative type. (English) Zbl 1366.93484

Math. Methods Appl. Sci. 40, No. 11, 3837-3854 (2017).

MSC: 93D15 35B40 47D03 74D05 74K10 93C80

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Yuan, Ganghua

Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations. (English) Zbl 1381.35181

J. Math. Anal. Appl. 450, No. 1, 137-151 (2017).

MSC: 35Q74 35R30 35A02 35R60

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Mohanty, Ranjan Kumar; Kaur, Deepti

A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations. (English) Zbl 1419.35126

Adv. Difference Equ. 2016, Paper No. 326, 29 p. (2016).

MSC: 35K59 65M22 74K10 35Q74

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Fatima, Aeeman; Mahomed, Fazal M.; Khalique, Chaudry Masood

Noether symmetries and exact solutions of an Euler-Bernoulli beam model. (English) Zbl 1388.70013

Int. J. Mod. Phys. B 30, No. 28-29, Article ID 1640011, 9 p. (2016).

MSC: 70H33 74K10 35Q74

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Li, Lei; Jia, Xinchun; Liu, Jiankang

Stabilization of an Euler-Bernoulli beam equation via a corrupted boundary position feedback. (English) Zbl 1410.74035

Appl. Math. Comput. 270, 648-653 (2015).

MSC: 74K10 35B35 35L35 35Q74 74H55

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Hassine, Fathi

Stability of elastic transmission systems with a local Kelvin-Voigt damping. (English) Zbl 1360.93600

Eur. J. Control 23, 84-93 (2015).

MSC: 93D20 74K10 35L05 74H45

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Netuka, Horymír; Machalová, Jitka

Optimal control of system governed by the Gao beam equation. (English) Zbl 1334.49006

Discrete Contin. Dyn. Syst. 2015, Suppl., 783-792 (2015).

MSC: 49J15 49K15 49M25 49N10 74K10 65L60

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Zhou, Huacheng; Kou, Chunhai

Stabilization of an Euler-Bernoulli beam equation via boundary fractional derivative feedback control. (Chinese. English summary) Zbl 1340.93159

Commun. Appl. Math. Comput. 29, No. 2, 211-221 (2015).

MSC: 93D15 70Q05 74K10 93B52 93D20

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Wang, Jun-Min; Krstic, Miroslav

Stability of an interconnected system of Euler-Bernoulli beam and heat equation with boundary coupling. (English) Zbl 1320.93068

ESAIM, Control Optim. Calc. Var. 21, No. 4, 1029-1052 (2015).

MSC: 93D15 93C20 35P20

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Yang, Kun-Yi; Li, Jing-Jing; Zhang, Jie

Stabilization of Euler-Bernoulli beam equations with variable coefficients under delayed boundary output feedback. (English) Zbl 1315.35066

Electron. J. Differ. Equ. 2015, Paper No. 75, 14 p. (2015).

MSC: 35J10 93C20 93C25

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Baccouch, Mahboub

Superconvergence and a posteriori error estimates of a local discontinuous Galerkin method for the fourth-order initial-boundary value problems arising in beam theory. (English) Zbl 1463.65285

Int. J. Numer. Anal. Model., Ser. B 5, No. 3, 188-216 (2014).

MSC: 65M60 65N30 74K10 65M12 65M15 35Q74 74H45 65M50 74S05

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Zhang, Qiong; Wang, Jun-Min; Guo, Bao-Zhu

Stabilization of the Euler-Bernoulli equation via boundary connection with heat equation. (English) Zbl 1291.93258

Math. Control Signals Syst. 26, No. 1, 77-118 (2014).

MSC: 93D15 93C20 35K05

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Kunze, Herb; La Torre, Davide; Mendivil, Franklin; Vrscay, Edward

Inverse problems for DEs and PDEs using the collage theorem: a survey. (English) Zbl 1288.65110

Int. J. Appl. Nonlinear Sci. 1, No. 1, 30-51 (2013).

MSC: 65L09 65L05 34A34 34A55 65N21 35J25 65M32 35K20 34B05 65L10 35R30 74K10

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Heppell, Charles; Richardson, Giles; Roose, Tiina

A model for fluid drainage by the lymphatic system. (English) Zbl 1402.92139

Bull. Math. Biol. 75, No. 1, 49-81 (2013).

MSC: 92C35 76Z05 35Q92

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Liu, Kai; Hu, Liangjian; Luo, Jiaowan

Stability property and essential spectrum of linear retarded functional differential equations. (English) Zbl 1280.34073

J. Comput. Appl. Math. 244, 19-35 (2013).

Reviewer: Andrei Horvat-Marc (Baia Mare)

MSC: 34K20 34K30 34K06 34K08

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Zhang, Yanlei; Chen, Liqun

Internal resonance of pipes conveying fluid in the supercritical regime. (English) Zbl 1311.74049

Nonlinear Dyn. 67, No. 2, 1505-1514 (2012).

MSC: 74F10 74H45 74H60 74K10

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Chan, Yue; Thamwattana, Ngamta; Hill, James M.

Axial buckling of multi-walled carbon nanotubes and nanopeapods. (English) Zbl 1278.74061

Eur. J. Mech., A, Solids 30, No. 6, 794-806 (2011).

MSC: 74G60 74M25

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Ge, Shuzhi Sam; Zhang, Shuang; He, Wei

Vibration control of an Euler-Bernoulli beam under unknown spatiotemporally varying disturbance. (English) Zbl 1245.93065

Int. J. Control 84, No. 5, 947-960 (2011).

MSC: 93C40 70Q05 93C73

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Davis, Lisa G.; Singler, John R.

Computational issues in sensitivity analysis for 1-D interface problems. (English) Zbl 1249.65230

J. Comput. Math. 29, No. 1, 108-130 (2011).

MSC: 65N30 35J25 35B27 74K10 74S05 74Q05

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Ciuperca, Ionel Sorin; Tello, J. Ignacio

On a variational inequality on elasto-hydrodynamic lubrication. (English) Zbl 1229.35099

J. Math. Anal. Appl. 383, No. 2, 597-607 (2011).

Reviewer: Igor Bock (Bratislava)

MSC: 35J87 49J40

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Molter, Alexandre; Da Silveira, Otávio A. Alves; Fonseca, Jun S. Ono; Bottega, Valdecir

Simultaneous piezoelectric actuator and sensor placement optimization and control design of manipulators with flexible links using SDRE method. (English) Zbl 1206.93078

Math. Probl. Eng. 2010, Article ID 362437, 23 p. (2010).

MSC: 93C85 93C55 70Q05

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Ascanelli, A.; Cicognani, M.

Gevrey solutions for a vibrating beam equation. (English) Zbl 1186.35254

Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 151-164 (2009).

MSC: 35S11 35J10 35Q74 74K10 35A22

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Rashidinia, J.; Mohammadi, R.

Numerical methods based on non-polynomial sextic spline for solution of variable coefficient fourth-order wave equations. (English) Zbl 1423.74509

Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 4, 266-276 (2009).

MSC: 74K10 74S30 65D07 35K25 35B35

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Ascanelli, Alessia; Cicognani, Massimo; Colombini, Ferruccio

The global Cauchy problem for a vibrating beam equation. (English) Zbl 1201.35124

J. Differ. Equations 247, No. 5, 1440-1451 (2009).

Reviewer: Daniel Ševčovič (Bratislava)

MSC: 35L35 74K10 74H45 35L77

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Guo, Bao-Zhu; Yang, Kun-Yi

Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation. (English) Zbl 1166.93360

Automatica 45, No. 6, 1468-1475 (2009).

MSC: 93D15 93C20 70Q05

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Aydin, Kamil

Vibratory characteristics of Euler-Bernoulli beams with an arbitrary number of cracks subjected to axial load. (English) Zbl 1229.74049

J. Vib. Control 14, No. 4, 485-510 (2008).

MSC: 74H45 74K10 74R10

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del Rosario, Ricardo C. H.

Exponential stability of the semigroup associated with a non-homogeneous flexible beam with boundary damping. (English) Zbl 1163.35432

Matimyas Mat. 30, No. 1, 1-12 (2007).

MSC: 35L35 35L75 74K10 35B35 35B40 93D15

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Baxendale, Peter H.; Picas, Marios

Almost sure and moment Lyapunov exponents for a stochastic beam equation. (English) Zbl 1123.60046

J. Funct. Anal. 243, No. 2, 566-610 (2007).

MSC: 60H15

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El-Gamel, Mohamed

A numerical scheme for solving nonhomogeneous time-dependent problems. (English) Zbl 1093.65092

Z. Angew. Math. Phys. 57, No. 3, 369-383 (2006).

Reviewer: H. P. Dikshit (New Delhi)

MSC: 65M60 35K05 35K15 35L05 35L15 74K10 74S05

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Lesnic, Daniel

Determination of the flexural rigidity of a beam from limited boundary measurements. (English) Zbl 1099.34015

J. Appl. Math. Comput. 20, No. 1-2, 17-34 (2006).

Reviewer: Vassilis G. Papanicolaou (Athena)

MSC: 34A55 34B24

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Ghanbari, Kazem

On the isospectral beams. (English) Zbl 1085.34008

Electron. J. Differ. Equ. 2005, Conf. 12, 57-64 (2005).

MSC: 34B05 34B10 34L15 34C60

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Chang, Jinde; Yao, Cuizhen

Completeness of the root subspace of a beam equation under the boundary feedback. (Chinese. English summary) Zbl 1160.93344

Acta Anal. Funct. Appl. 6, No. 2, 182-186 (2004).

MSC: 93B52 74K10 74M05 93C20 93B28

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Oguamanam, D. C. D.

Free vibration of beams with finite mass rigid tip load and flexural–torsional coupling. (English) Zbl 1072.74032

Int. J. Mech. Sci. 45, No. 6-7, 963-979 (2003).

Reviewer: Messoud A. Efendiev (Berlin)

MSC: 74H45 74K10

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Found 135 Documents (Results 1–100)

Hysteretic beam and temperature effect. (English) Zbl 07920658

Well-posedness and stability for a nonlinear Euler-Bernoulli beam equation. (English) Zbl 07919831

An analytical study on vortex-induced vibrations of cylinders with variable cross-section in the range of low Reynolds numbers. (English) Zbl 1542.74030

A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations. (English) Zbl 07860039

On the static condensation of initially not rectilinear beams. (English) Zbl 1537.74206

High-order half-step compact numerical approximation for fourth-order parabolic PDEs. (English) Zbl 1534.65136

Vibration modes of the Euler-Bernoulli beam equation with singularities. (English) Zbl 1530.35144

Dynamic stabilization for a cascaded beam PDE-ODE system with boundary disturbance. (English) Zbl 1528.93189

Output tracking for an Euler-Bernoulli beam equation with moment boundary control and shear boundary disturbance. (English) Zbl 1533.93315

Nonlocal strain gradient model for thermal buckling analysis of functionally graded nanobeams. (English) Zbl 1523.74030

The influence of flexible bottom on wave generation by an oscillatory disturbance in the presence of surface tension. (English) Zbl 1540.76024

Exponential stabilization for an Euler-Bernoulli beam PDE-ODE cascade system. (English) Zbl 1520.93445

Output regulation for Euler-Bernoulli beam with unknown exosystem using adaptive internal model. (English) Zbl 1527.93201

Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions. (English) Zbl 1522.34052

Indentation of a free beam resting on an elastic substrate with an internal lengthscale. (English) Zbl 1519.74052

Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load. (English) Zbl 1512.35152

Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component. (English) Zbl 1529.74015

Fourier methods in science and engineering. (English) Zbl 1520.42001

On the band gap formation in locally-resonant metamaterial thin-walled beams. (English) Zbl 1512.74048

Random vibration of one-dimensional acoustic black hole beam. (English) Zbl 1526.74032

Sharp decay estimates for semigroups associated with some one-dimensional fluid-structure interactions involving degeneracy. (English) Zbl 1498.93663

Modal analysis of viscoelastic three-dimensional rotating beam with generic tip mass. (English) Zbl 1497.74029

Convergence of thin vibrating rods to a linear beam equation. (English) Zbl 1493.74053

Backstepping-based decentralized fault-tolerant control of hypersonic vehicles in PDE-ODE form. (English) Zbl 1537.93033

Uniqueness and stability analysis of final data inverse source problems for evolution equations. (English) Zbl 1490.74055

Dynamic stabilisation for an Euler-Bernoulli beam equation with boundary control and matched nonlinear disturbance. (English) Zbl 1485.93492

Stabilization of an Euler-Bernoulli beam with distributed damping under time delays in the boundary. (English) Zbl 1482.35041

Determination of a spatial load in a damped Kirchhoff-Love plate equation from final time measured data. (English) Zbl 1481.35392

A dynamic Euler-Bernoulli beam equation frictionally damped on an elastic foundation. (English) Zbl 1483.74059

Transient vibrations of a fractional Zener viscoelastic cantilever beam with a tip mass. (English) Zbl 1520.74028

Magnetic field effects on thermally affected propagation of acoustical waves in rotary double-nanobeam systems. (English) Zbl 1517.74050

On the consistency of two-phase local/nonlocal piezoelectric integral model. (English) Zbl 1505.74057

Control separation based fault accommodation for flexible hypersonic vehicles. (English) Zbl 1483.93537

Numerical investigation of dynamic Euler-Bernoulli equation via 3-scale Haar wavelet collocation method. (English) Zbl 1488.65514

An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends. (English) Zbl 1508.35179

Approximate solutions to Euler-Bernoulli beam type equation. (English) Zbl 1501.65052

Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler-Bernoulli beam equation. (English) Zbl 1468.34018

Stabilization for Euler-Bernoulli beam equation with boundary moment control and disturbance via a new disturbance estimator. (English) Zbl 1464.37078

Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients. (English) Zbl 1460.35112

Constitutively optimal governing equations for higher-grade elastic beams. (English) Zbl 1479.74070

Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads. (English) Zbl 1495.74042

Stability and regularity transmission for coupled beam and wave equations through boundary weak connections. (English) Zbl 1502.74063

Parametric solutions to a static fourth-order Euler-Bernoulli beam equation in terms of Lamé functions. (English) Zbl 1453.34001

Disturbance estimator and servomechanism based performance output tracking for a 1-d Euler-Bernoulli beam equation. (English) Zbl 1435.93050

Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling. (English) Zbl 1436.93119

Carleman estimate for an adjoint of a damped beam equation and an application to null controllability. (English) Zbl 1431.93009

Fourier method for inverse coefficient Euler-Bernoulli beam equation. (English) Zbl 1487.35437

Alternating strain regimes for failure propagation in flexural systems. (English) Zbl 1475.74107

Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation. (English) Zbl 1524.34005

Pointwise feedback stabilization of an Euler-Bernoulli beam in observations with time delay. (English) Zbl 1437.35198

Nondeterministic dynamic stability assessment of Euler-Bernoulli beams using Chebyshev surrogate model. (English) Zbl 1481.74437

Feedback stabilization of a two-dimensional fluid-structure interaction system with mixed boundary conditions. (English) Zbl 1435.93146

Adaptive error feedback regulation problem for an Euler-Bernoulli beam equation with general unmatched boundary harmonic disturbance. (English) Zbl 1421.93071

Asymptotic properties of solutions to fourth order difference equations. (English) Zbl 1416.39001

Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions. (English) Zbl 1480.65218

Weak stability of a laminated beam. (English) Zbl 1421.35023

Solving fuzzy static structural problems using symmetric group method. (English) Zbl 1458.74144

Implicit analytic solutions for the linear stochastic partial differential beam equation with fractional derivative terms. (English) Zbl 1408.60052

A simple noniterative method for recovering a space-dependent load on the Euler-Bernoulli beam equation. (English) Zbl 1451.74136

Sliding mode boundary control for vibration suppression in a pinned-pinned Euler-Bernoulli beam with disturbances. (English) Zbl 1400.93115

A family of isospectral fourth order Sturm-Liouville problems and equivalent beam equations. (English) Zbl 1395.34032

Disturbance estimator based output feedback exponential stabilization for Euler-Bernoulli beam equation with boundary control. (English) Zbl 1387.93135

Novel differential quadrature element method for vibration analysis of hybrid nonlocal Euler-Bernoulli beams. (English) Zbl 1469.74132

Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. (English) Zbl 1423.74360

Stabilization of an Euler-Bernoulli beam system with a tip mass subject to non-uniform bounded disturbance. (English) Zbl 1397.93170

Stabilization of an Euler-Bernoulli beam with a tip mass under the unknown boundary external disturbances. (English) Zbl 1381.93084

Uniqueness in the determination of unknown coefficients of an Euler-Bernoulli beam equation with observation in an arbitrary small interval of time. (English) Zbl 1398.35290

The Euler-Bernoulli beam equation with boundary dissipation of fractional derivative type. (English) Zbl 1366.93484

Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations. (English) Zbl 1381.35181

A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations. (English) Zbl 1419.35126

Noether symmetries and exact solutions of an Euler-Bernoulli beam model. (English) Zbl 1388.70013

Stabilization of an Euler-Bernoulli beam equation via a corrupted boundary position feedback. (English) Zbl 1410.74035

Stability of elastic transmission systems with a local Kelvin-Voigt damping. (English) Zbl 1360.93600

Optimal control of system governed by the Gao beam equation. (English) Zbl 1334.49006