Found 1,630 Documents (Results 1–100)
Maximal noncompactness of singular integral operators on \(L^2\) spaces with some Khvedelidze weights. (English) Zbl 07928313
Ptak, Marek (ed.) et al., Operator and matrix theory, function spaces, and applications. Proceedings of the 33rd international workshop on operator theory and its applications, IWOTA 2022, Kraków, Poland, September 6–10, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 295, 279-295 (2024).
Mellin pseudodifferential operators and singular integral operators with complex conjugation. (English) Zbl 07928312
Ptak, Marek (ed.) et al., Operator and matrix theory, function spaces, and applications. Proceedings of the 33rd international workshop on operator theory and its applications, IWOTA 2022, Kraków, Poland, September 6–10, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 295, 249-278 (2024).
Properties and numerical solution of an integral equation system to minimize airplane drag for a multiwing system. (English) Zbl 07924834
The solvability of some kinds of singular integral equations of convolution type with variable integral limits. (English) Zbl 07924046
Maximal noncompactness of singular integral operators on \(L^p\) spaces with power weights. (English) Zbl 07919552
Duduchava, Roland (ed.) et al., Tbilisi analysis and PDE seminar. Extended abstracts of the 2020–2023. Seminar talks. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 7, 87-97 (2024).
On continuous extension of the Cauchy-type integral with parameter-dependent density to the boundary of the domain. (English. Ukrainian original) Zbl 07916744
Ukr. Math. J. 76, No. 3, 522-527 (2024); translation from Ukr. Mat. Zh. 76, No. 3, 468-472 (2024).
The airfoil integral equation over disjoint intervals: analytic solutions and asymptotic expansions. (English) Zbl 07916003
Some considerations on numerical methods for Cauchy singular integral equations on the real line. (English) Zbl 07868770
A modified cubic spline for solving integral equations with logarithmic kernel. (English) Zbl 07859268
On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation. (English) Zbl 1539.65204
Reviewer: Manfred Tasche (Rostock)
Singularity swapping method for nearly singular integrals based on trapezoidal rule. (English) Zbl 1537.65178
Quadrature formula for normal derivative of double layer potential. (Russian. English summary) Zbl 07863377
Ufim. Mat. Zh. 15, No. 4, 99-109 (2023); translation in Ufa Math. J. 15, No. 4, 100-111 (2023).
High order approximations of solutions to initial value problems for linear fractional integro-differential equations. (English) Zbl 1537.45005
Solution of a boundary value problem for a system of integro-differential equations arising in a model of plasma physics. (English) Zbl 1535.30094
On singular integral operators with shifts. (English) Zbl 1534.45010
Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 489-523 (2023).
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
To the theory of singular integral equations of non-classical type on a segment of a line. (English) Zbl 1533.45007
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function. (English) Zbl 1531.35300
The inapplicability of variational methods in the cohesive crack problem for initially rigid traction-separation relation and its solution using integral equations. (English) Zbl 1538.74128
Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator. (English) Zbl 1530.45003
Reviewer: Kai Diethelm (Schweinfurt)
Constructing solutions of Cauchy type integral equations by using four kinds of basis. (English) Zbl 1525.45003
Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces. (English) Zbl 1526.45001
Reviewer: Luigi Rodino (Torino)
Numerical reconstruction of radiative sources from partial boundary measurements. (English) Zbl 1522.65190
On convergence of form factor expansions in the infinite volume quantum sinh-Gordon model in \(1+1\) dimensions. (English) Zbl 1533.82004
Reviewer: Takeo Kojima (Yonezawa)
The nonlinear boundary value problem for \(k\) holomorphic functions in \(\mathbb{C}^2\). (English) Zbl 1524.32006
Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems. (English) Zbl 1514.45003
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
An efficient method for singular integral equations of non-normal type with two convolution kernels. (English) Zbl 1511.45003
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
A new efficient method for two classes of singular convolution integral equations of non-normal type with Cauchy kernel. (English) Zbl 07908201
Solving convolution singular integral equations with reflection and translation shifts utilizing Riemann-Hilbert approach. (English) Zbl 07885960
Optimal quadrature formulas for approximate solution of the first kind singular integral equation with Cauchy kernel. (English) Zbl 07858094
On the convergence of solving a nonlinear Volterra-type integral equation for surface divergence based on surface thermal information. (English) Zbl 1528.45007
Stability and convergence analysis of singular integral equations for unequal arms branch crack problems in plane elasticity. (English) Zbl 1525.45013
Well-posedness of a problem of solving some classes of integral equations of the first kind. (English) Zbl 1515.30093
Noether’s theorem of some classes of two-dimensonal singular integral equations of the Mikhlin-Calderón-Zygmund type over a bounded domain. (English) Zbl 1509.45001
Russ. Math. 66, No. 10, 25-32 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 10, 33-41 (2022).
Boundary value problems for analytic functions with boundary data from grand Lebesgue spaces. (English. Russian original) Zbl 1507.42014
J. Math. Sci., New York 268, No. 3, 355-367 (2022); translation from Probl. Mat. Anal. 118, 97-107 (2022).
Approximate solution of Cauchy integral equations by using Lucas polynomials. (English) Zbl 1513.65526
Numerical solution of anti-plane problems of the elasticity theory for composite isotropic plane slackened by linear crack. (English) Zbl 1503.65320
Conjugate rational Fourier-Chebyshev operator and its approximation properties. (English. Russian original) Zbl 1505.42002
Russ. Math. 66, No. 3, 35-49 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 3, 44-60 (2022).
Computing weakly singular and near-singular integrals over curved boundary elements. (English) Zbl 1505.35105
Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann-Hilbert method. (English) Zbl 1502.45003
Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions. (English) Zbl 07618952
Numerical and analytical study of the problem of electromagnetic oscillations in open inhomogeneous resonators. (English. Russian original) Zbl 1502.35159
Differ. Equ. 58, No. 9, 1258-1266 (2022); translation from Differ. Uravn. 58, No. 9, 1266-1273 (2022).
Existence of analytic solutions for some classes of singular integral equations of non-normal type with convolution kernel. (English) Zbl 1505.45001
Reviewer: Alla Boikova (Penza)
The singular integral equations on the intersection of two balls in \(\mathbb{C}^n\). (Chinese. English summary) Zbl 1513.32018
Singular integral operators with a generalized Cauchy kernel. (English. Russian original) Zbl 1493.45015
Dokl. Math. 105, No. 2, 117-122 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 76-82 (2022).
A note on the paper: “Singular integral operators in generalized Morrey spaces on curves in the complex plane”. (English) Zbl 1490.42019
Approximate solution of a singular integral equation using the Sobolev method. (English) Zbl 1501.65159
Reviewer: Josef Kofroň (Praha)
A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel. (English) Zbl 1528.45002
Reviewer: Roland Duduchava (Tbilisi)
Solvability of quadratic integral equations with singular kernel. (English) Zbl 1487.45002
J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 1, 12-25 (2022) and Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 1, 3-18 (2022).
Algebras of Mellin pseudodifferential operators with quasicontinuous symbols. (English) Zbl 07505896
An approximate solution of the anti-plane problems of the elasticity theory for isotropic composite plane weakened by crack using a method of discrete singularity. (English) Zbl 1513.74162
On isomorphism of some functional spaces under action of two-dimensional singular integral operators. (English) Zbl 1479.45004
Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 69-77 (2021).
Reviewer: Kai Diethelm (Schweinfurt)
An integral equation method for wave scattering by a pair of horizontal porous plates. (English) Zbl 1470.74042
Singh, Harendra (ed.) et al., Topics in integral and integro-differential equations. Theory and applications. Cham: Springer. Stud. Syst. Decis. Control 340, 229-255 (2021).
Hölder continuity and applications of a high-order singular Teodorescu operators on an unbounded domain. (Chinese. English summary) Zbl 1488.30225
Approximate solution of a singular integral equation of the first kind using Chebyshev polynomials with zero values at both endpoints of the integration interval. (English. Russian original) Zbl 1485.65131
Comput. Math. Math. Phys. 61, No. 8, 1269-1275 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1287-1294 (2021).
A note on the Fredholm theory of singular integral operators with Cauchy and Mellin kernels. II. (English) Zbl 1473.45003
Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 353-392 (2021).
On Mellin pseudodifferential operators with quasicontinuous symbols. (English) Zbl 1518.47082
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Application of Perov type fixed point results to complex partial differential equations. (English) Zbl 07376657
Hölder-type spaces, singular operators, and fixed point theorems. (English) Zbl 1523.47080
Reviewer: Jürgen Appell (Würzburg)
Weighted polynomial approximation and numerical methods for integral equations. (English) Zbl 1533.65004
Pathways in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-77496-7/hbk; 978-3-030-77499-8/pbk; 978-3-030-77497-4/ebook). x, 658 p. (2021).
Reviewer: Eduardo Cuesta (Valladolid)
Solvability of a certain system of singular integral equations with convex nonlinearity on the positive half-line. (English. Russian original) Zbl 1464.81047
Russ. Math. 65, No. 1, 27-46 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 1, 31-51 (2021).
Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces. (English) Zbl 1462.30067
Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations. (English. Russian original) Zbl 1462.35379
Comput. Math. Math. Phys. 61, No. 1, 80-89 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 85-94 (2021).
On the spectra of a quaternion singular integral operator and its components on spatial surfaces. (English) Zbl 1543.30138
On the numerical computations of an anti-plane problem in the case of isotropic composite body weakened by a crack. (English) Zbl 1513.74161
Numerical solution of certain Cauchy singular integral equations using a collocation scheme. (English) Zbl 1486.65299
Existence of solutions for dual singular integral equations with convolution kernels in case of non-normal type. (English) Zbl 1481.45003
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Parabolic equations with changing direction of time. (English. Russian original) Zbl 1477.35307
Dokl. Math. 101, No. 2, 147-149 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 82-85 (2020).
Terminal value problems of fractional evolution equations. (English) Zbl 1459.34049
Reviewer: Krishnan Balachandran (Coimbatore)
High-accuracy numerical approximations to several singularly perturbed problems and singular integral equations by enriched spectral Galerkin methods. (English) Zbl 1463.65393
Singular modes of the integral scattering operator in anisotropic inhomogeneous media. (English. Russian original) Zbl 1451.78022
Differ. Equ. 56, No. 9, 1212-1218 (2020); translation from Differ. Uravn. 56, No. 9, 1245-1251 (2020).
Solving finite part singular integral equations using orthogonal polynomials. (English) Zbl 1463.45016
A new B-spline collocation method for singular integro-differential equations of higher orders. (English) Zbl 1452.65415
Reviewer: Fritz Keinert (Ames)
Weighted local Morrey spaces. (English) Zbl 1437.42024
On an approximate solution of a class of surface singular integral equations of the first kind. (English) Zbl 1447.45005
The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem. (English) Zbl 1444.45006
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Solvability theory of convolution singular integral equations via Riemann-Hilbert approach. (English) Zbl 1443.45005
Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations. (English) Zbl 1441.65126
Reviewer: Kai Diethelm (Schweinfurt)
Approximation methods for second kind weakly singular Volterra integral equations. (English) Zbl 1441.45003
Reviewer: Josef Kofroň (Praha)
Non-normal type singular integral-differential equations by Riemann-Hilbert approach. (English) Zbl 1443.45004
Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem. (English) Zbl 1499.45010
On solvability of singular integral-differential equations with convolution. (English) Zbl 1458.45001
Explicit solution to an integral equation with elliptic function in the kernel. (English) Zbl 1451.30080
Criterion of uniform invertibility of regular approximations of one-dimensional singular integral operators on a piecewise-Lyapunov contour. (Russian. English summary) Zbl 1463.45053
Hypersingular integrals in integral equations and inequalities: fundamental review study. (English) Zbl 1442.65462
Andrica, Dorin (ed.) et al., Differential and integral inequalities. Cham: Springer. Springer Optim. Appl. 151, 687-717 (2019).
Reviewer: V. Lokesha (Bangalore)
On existence of solutions of nonlinear equilibrium problems on shallow inhomogeneous anisotropic shells of the Timoshenko type. (English. Russian original) Zbl 1433.30102
Russ. Math. 63, No. 8, 38-53 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 8, 45-61 (2019).
Research on the buckling behavior of thermoelectric films on infinite elastic substrates. (Chinese. English summary) Zbl 1449.74099
Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions. (English) Zbl 1428.45002
Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets. (English) Zbl 1438.65339
The Noetherian conditions and the index of some class of singular integral operators over a bounded simply connected domain. (English. Russian original) Zbl 1423.42021
Mosc. Univ. Math. Bull. 74, No. 2, 49-54 (2019); translation from Vestn. Mosk. Univ., Ser. I 74, No. 2, 9-14 (2019).
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Cauchy BVP for elastic half-plane posed in displacement orientations. (English) Zbl 1418.74007
Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXXI. Selected papers based on the presentations at the 41st international conference (BEM/MRM), New Forest, UK, September 11–13, 2018. Southampton: WIT Press. WIT Trans. Eng. Sci. 122, 201-208 (2019).
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