A priori bounds and stability in the retarded nonlinear wave equation

DOI10.1016/0022-247X(92)90310-AzbMath0755.35007OpenAlexW2044096483MaRDI QIDQ1191804

Bo Zhang, Theodore Allen Burton

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90310-a

zbMATH Keywords

sufficient conditions for asymptotic stability

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (3)

Solution estimates for abstract nonlinear time-variant differential-delay equations ⋮ On global stability of parabolic systems with delay ⋮ Stability of abstract nonlinear nonautonomous differential--delay equations with unbounded history-responsive operators

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Perturbation theorems for functional differential equations with infinite delay via limiting equations
• Asymptotic behavior of solutions of some differential equations
• Stability and periodic solutions of ordinary and functional differential equations
• Functional differential equations and Jensen's inequality
• Stability theorems for nonautonomous functional differential equations by Lyapunov functionals
• Geometric theory of semilinear parabolic equations
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• A Bifurcation Problem for a Nonlinear Hyperbolic Partial Differential Equation
• A model for one-dimensional, nonlinear viscoelasticity
• Uniform Asymptotic Stability in Functional Differential Equations
• Periodic solutions of the sunflower equation: 𝑥̈+(𝑎/𝑟)𝑥+(𝑏/𝑟)sin𝑥(𝑡-𝑟)=0
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