Found 104 Documents (Results 1–100)
Turnpike phenomenon for a class of optimal control problems with a Lyapunov function. (English) Zbl 1535.37023
Turnpike phenomenon for perturbed dynamical systems determined by a set-valued mapping. (English) Zbl 1539.37014
Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation. (English) Zbl 1532.35422
Turnpike phenomenon and its stability for discrete-time optimal control problems with a Lyapunov function. (English) Zbl 1512.37105
Poisson stable motions and global attractors of symmetric monotone nonautonomous dynamical systems. (English) Zbl 1527.37016
Turnpike properties of discrete dispersive dynamical systems with a Lyapunov function. (English) Zbl 1498.37022
Attractors for semigroups and evolution equations. With an introduction by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik. Reprint of the 1991 edition with a new introduction. (English) Zbl 1496.47001
Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922982-1/pbk; 978-1-00-922981-4/ebook). xxviii, 68 p. (2022).
Turnpike properties for discrete-time optimal control problems with a Lyapunov function. (English) Zbl 1496.37011
A turnpike property of trajectories of perturbed dynamical systems with a Lyapunov function. (English) Zbl 1489.37023
Non-wandering points for autonomous/periodic parabolic equations on the circle. (English) Zbl 1469.35040
Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential. (English) Zbl 1460.35044
A turnpike property of trajectories of dynamical systems with a Lyapunov function. (English) Zbl 1457.91257
Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations. (English) Zbl 1435.35076
Asymptotic behavior for the semilinear reaction-diffusion equations with memory. (English) Zbl 1487.35223
Global dynamics of a cholera model with age structures and multiple transmission modes. (English) Zbl 1421.35390
Global behavior of a multi-group SIR epidemic model with age structure and an application to the chlamydia epidemic in Japan. (English) Zbl 1415.35264
Unified Lyapunov functional for an age-structured virus model with very general nonlinear infection response. (English) Zbl 1398.92235
Global attractor for a nonlocal \(p\)-Laplacian equation without uniqueness of solution. (English) Zbl 1359.35014
Global analysis of an infection age model with a class of nonlinear incidence rates. (English) Zbl 1335.92102
Regularity of the attractor for strongly damped wave equations with nonlinearity. (English) Zbl 1371.35009
A note on the semiglobal controllability of the semilinear wave equation. (English) Zbl 1302.35057
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
Critical and supercritical higher order parabolic problems in \(\mathbb R^N\). (English) Zbl 1288.35281
Global attractors for a class of nonlinear evolution equations. (Chinese. English summary) Zbl 1289.35037
Spectral analysis, an integral mild solution formula and asymptotic dynamics of the derivative Klein-Gordon type wave equation. (English) Zbl 1330.35238
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators. (English) Zbl 1215.37052
Reviewer: Victor Sharapov (Volgograd)
Global attractor for the Kirchhoff type equation with a strong dissipation. (English) Zbl 1213.35126
Reviewer: Erdoǧan S. Şuhubi (İstanbul)
On quasilinear parabolic equations involving weighted \(p\)-Laplacian operators. (English) Zbl 1203.35156
Reviewer: Pablo Amster (Buenos Aires)
Global attractor of a class of recurrent neural network with S-type distributed delays. (Chinese. English summary) Zbl 1212.34234
Global attractors for discrete disperse dynamical systems. (English) Zbl 1186.37025
Reviewer: Boris S. Kruglikov (Tromsø)
Long-time behavior for quasilinear parabolic equations involving weighted \(p\)-Laplacian operators. (English) Zbl 1173.35024
Reviewer: Peter Lindqvist (Trondheim)
Damped wave equations with fast growing dissipative nonlinearities. (English) Zbl 1178.35264
Reviewer: Marie Kopáčková (Praha)
Asymptotic behaviour of solutions of a non-linear thermoelastic plate problem. (Russian. English summary) Zbl 1177.74165
MSC:
74F20
Convergence of trajectories of discrete dispersive dynamical systems. (English) Zbl 1180.37024
Reviewer: Geoffrey R. Goodson (Towson)
A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential. (English) Zbl 1156.35095
Random attractors for partly dissipative stochastic lattice dynamical systems. (English) Zbl 1143.37050
On the dynamics of a degenerate damped semilinear wave equation in \(\mathbb{R}^N\) : The non-compact case. (English) Zbl 1163.35429
The global attractor for the solutions to the 3D viscous primitive equations. (English) Zbl 1131.35065
Reviewer: Bruno Scarpellini (Basel)
Upper semi-continuity of attractors for multivalued semi-flow under random perturbation. (English) Zbl 1106.37035
Reviewer: Messoud A. Efendiev (Berlin)
On a retarded PDE system for a von Kármán plate with thermal effects in the flow of gas. (English) Zbl 1078.35133
Reviewer: Emil Minchev (Tokyo)
Existence of strong global attractors for hyperbolic equation with linear memory. (English) Zbl 1068.45018
Reviewer: Mohamed O. El-Doma (Khartoum)
Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations. (English) Zbl 1065.39026
Reviewer: Pavel Rehak (Brno)
Attractor of dissipative radially symmetric Zakharov equations outside a ball. (English) Zbl 1050.35104
Reviewer: Bruno Scarpellini (Basel)
Asymptotic behavior of a class of reaction–diffusion equations with delays. (English) Zbl 1031.35065
Reviewer: M.Mastinsek (Marikon)
Attractors for strongly damped wave equations with critical nonlinearities. (English) Zbl 1060.35082
Reviewer: Sergey Zelik (Stuttgart)
Global attractor for Cahn-Hilliard equations with more general nonlinear term. (Chinese. English summary) Zbl 1020.35017
The global attractors for a damped generalized coupled nonlinear wave equations. (English) Zbl 1056.35029
Reviewer: Bruno Scarpellini (Basel)
Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. (English) Zbl 1042.35006
Reviewer: Messoud A. Efendiev (Berlin)
Global attractors of non-autonomous quasi-homogeneous dynamical systems. (English) Zbl 1008.34046
Reviewer: Norbert Koksch (Dresden)
Long-time behavior of solutions to a semilinear wave equation with boundary damping. (English) Zbl 1034.93031
Reviewer: Costica Moroşanu (Iaşi)
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. (English) Zbl 0983.35026
Reviewer: Jan Cholewa (Katowice)
Attractors of multivalued semiflows generated by differential inclusions and their approximations. (English) Zbl 1014.35010
Reviewer: Jong-Kyu Kim (Masan Kyungnam)
A class of parabolic functional-differential equations of nonlinear optics. (English. Russian original) Zbl 0983.35143
Differ. Equ. 36, No. 3, 449-456 (2000); translation from Differ. Uravn. 36, No. 3, 400-407 (2000).
Reviewer: Pei-xuan Weng (Guangzhou)
Asymptotic behavior of some nonlinear dissipative hyperbolic equations on \(\mathbb{R}^N\). (English) Zbl 0985.37088
Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 638-640 (2000).
Reviewer: Jan Cholewa (Katowice)
Approximation of the global attractor for the incompressible Navier-Stokes equations. (English) Zbl 0982.76022
Global attractors for the Navier-Stokes equations of three-dimensional compressible flow. (English. Abridged French version) Zbl 0959.35135
Stability. (Efstatheia.) (Greek) Zbl 0989.34039
Mathematical Research (Athens). 4. Athens: “V” Publications. 25 p. (1999).
Reviewer: Svetoslav Bilchev (Athens)
An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution. (English. Ukrainian original) Zbl 0973.35040
Ukr. Math. J. 51, No. 7, 1135-1139 (1999); translation from Ukr. Mat. Zh. 51, No. 7, 1006-1009 (1999).
Attracteurs compacts pour les équations de Navier-Stokes d’un fluide compressible monodimensionel. (Compact attractors for the Navier-Stokes equations of one-dimensional, compresible flow.) (English. Abridged French version) Zbl 0926.35113
On the asymptotic behaviour of a Landau-Ginzburg model for the martensitic phase transitions in shape memory alloys. (English) Zbl 0915.35118
Escher, Joachim (ed.) et al., Topics in nonlinear analysis. The Herbert Amann anniversary volume. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 35, 673-689 (1999).
Strongly compact attractor for dissipative Zakharov equations. (English) Zbl 0972.35158
Guo, Boling (ed.) et al., Nonlinear partial differential equations and applications. Proceedings of the international conference, Chongqing, China, May 26-31, 1997. Singapore: World Scientific. 49-56 (1998).
Reviewer: Jan Cholewa (Katowice)
Analysis of a two component reaction diffusion model on a heterogeneous domain. (English) Zbl 0926.92004
Horn, Mary Ann (ed.) et al., Mathematical models in medical and health science. International conference, Vanderbilt University, Nashville, TN, USA, May 28–31, 1997. La Vergne, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 139-144 (1998).
Inertial manifolds for nonlinear viscoelasticity equations. (English) Zbl 0914.35020
Reviewer: Daniel Ševčovič (Bratislava)
Weak attractor for damped abstract nonlinear hyperbolic systems. (English) Zbl 0911.35020
Reviewer: M.Kopáčková (Praha)
Attractors for equations describing the flow of generalized Newtonian fluids. (English. Russian original) Zbl 0961.35019
J. Math. Sci., New York 101, No. 5, 3539-3562 (2000); translation from Zap. Nauchn. Semin. POMI 249, 256-293 (1997).
Bounded solutions of some nonlinear elliptic equations in cylindrical domains. (English) Zbl 0893.35035
Reviewer: G.Bottaro (Genova)
Global attractors for degenerate parabolic equations on unbounded domains. (English) Zbl 0862.35058
Reviewer: M.Korten (Warszawa)
The attractor of the delayed functional-differential diffusion equation. (English. Russian original) Zbl 0891.35160
Comput. Math. Model. 8, No. 2, 181-186 (1997); translation from Chislennye Metody v Matematicheskoj Fizike, 147-152 (1996).
Existence and continuity of the attractor for a singularly perturbed hyperbolic equation. (English) Zbl 0846.35019
Reviewer: E.Feireisl (Praha)
Global attractors for a class of retarded quasilinear partial differential equations. (English. Abridged French version) Zbl 0845.35129
Maximal decay rates and asymptotic behavior of solutions in nonlinear elastic structures. (English) Zbl 0848.73038
Borggaard, Jeffrey (ed.) et al., Optimal design and control. Proceedings of the workshop on optimal design and control, Blacksburg, VA, USA, April 8-9, 1994. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 19, 229-240 (1995).
Reviewer: Gai Bieng Zheng (Harbin)
Structure of the global attractor of cyclic feedback systems. (English) Zbl 0823.34057
Reviewer: A.Bacciotti (Torino)
Asymptotic behavior of solutions in nonlinear dynamic elasticity. (English) Zbl 0874.35017
Reviewer: I.Ecsedi (Miskolc-Egyetemvaros)
Corrigendum: Existence and finite dimensionality of attractors for a system of equations arising in ferromagnetism. (English) Zbl 0812.34063
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. (English) Zbl 0808.35133
Reviewer: L.Vazquez (Madrid)
On a global stability of the two-dimensional visco-plastic flows. (English) Zbl 0790.73027
Neittaanmäki, P. (ed.) et al., Jyväskylä-St. Petersburg seminar on partial differential equations and numerical methods. Jyväskylä: University of Jyväskylä, Department of Mathematics. Jyväskylä Univ., Math. Inst., Ber. 56, 43-52 (1993).
MSC:
74C10
35Q72
Global attractor and inertial manifolds for regeneration of severed limb equation. (English) Zbl 0793.35055
The dynamical approach to elliptic problems in cylindrical domains, and a study of their parabolic singular limit. (English) Zbl 0803.35048
MSC:
35J65
On the dimension of attractors for Navier-Stokes equations on two- dimensional compact manifolds. (English) Zbl 0771.35045
Reviewer: K.Deckelnick (Freiburg i.Br.)
Attractors for the 3D baroclinic quasi-geostrophic equations of large- scale atmosphere. (English) Zbl 0749.76087
On new estimates for the Navier-Stokes equations and globally stable attractors. (English. Russian original) Zbl 0836.35114
J. Math. Sci., New York 77, No. 3, 3199-3206 (1995); translation from Zap. Nauchn. Semi. POMI 200, 98-109 (1992).
New estimates for the Navier-Stokes equations and global stable approximations. (Russian. English summary) Zbl 0801.35106
Attractors for semigroups and evolution equations. (English) Zbl 0755.47049
Lezioni Lincee. Cambridge etc.: Cambridge University Press,. xi, 73 p. (1991).
Reviewer: W.Arendt (Besançon)
A dynamical system approach to a phase transition problem. (English) Zbl 0772.35029
Reviewer: S.Jimbo (Tsushima)
Limiting behavior of global attractors for singularly perturbed beam equations with strong damping. (English) Zbl 0741.35089
Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling. (English) Zbl 0758.35044
Global existence, regularity, and boundedness for the Kuramoto- Sivashinsky equation in thin 2D domains. (English) Zbl 0735.35075
Applied mathematics and computing, Trans. 8th Army Conf., Ithaca/NY (USA) 1990, ARO Rep. 91-1, 1-10 (1991).
Reviewer: G.R.Sell
Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms. (English) Zbl 0732.35016
Reviewer: M.Tarabek (Carbondale)
Existence and finite-dimensionality of attractors for a system of equations arising in ferromagnetism. (English) Zbl 0727.34054
Reviewer: G.Di Blasio (Roma)
Global behavior of the solutions of certain fourth-order nonlinear equations. (English. Russian original) Zbl 0696.35147
J. Sov. Math. 49, No. 5, 1160-1166 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 66-75 (1987).
Finite dimensionality of an attractor in some problems of nonlinear shell theory. (English. Russian original) Zbl 0677.73016
Math. USSR, Sb. 61, No. 2, 411-420 (1988); translation from Mat. Sb., Nov. Ser. 133(175), No. 4(8), 419-428 (1987).
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