Qualitative properties of solutions for linear and nonlinear hyperbolic PDE's.

DOI10.3934/dcds.2004.10.517zbMath1053.35083OpenAlexW2094368080MaRDI QIDQ1433938

Leonid R. Volevich, Armen R. Shirikyan

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.517

zbMATH Keywords

exponential stabilityexponential dichotomycenter manifoldstable manifoldunstable manifoldlinear hyperbolic equationsbounded and almost periodic solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Almost and pseudo-almost periodic solutions to PDEs (35B15) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

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Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems

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