Existence of bounded solutions to a second-order system with dissipation

DOI10.1006/jmaa.1999.6480zbMath0944.34043OpenAlexW1989501012MaRDI QIDQ1306870

Hugo Leiva

Publication date: 5 December 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6480

zbMATH Keywords

stabilitybounded solutionssecond-order partial differential equationssecond-order system of differential equations with dissipation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (14)

Existence and stability of bounded solutions for a system of parabolic equations ⋮ Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations ⋮ Almost periodic solutions for some higher-order nonautonomous differential equations with operator coefficients ⋮ Bounded solutions of second-order systems of differential equations ⋮ Effective estimation of trapping/stability regions and bilateral solutions' bounds for some multidimensional nonlinear systems with time-varying coefficients ⋮ Bounded solutions to some classes of nonautonomous higher-order differential equations ⋮ Existence, stability and smoothness of a bounded solution for nonlinear time-varying thermoelastic plate equations ⋮ Almost automorphic solutions to some damped second-order differential equations ⋮ Existence, stability and smoothness of bounded solutions for an impulsive semilinear system of parabolic equations ⋮ Almost periodic solutions to some second-order nonautonomous differential equations ⋮ Exponentially-bounded solutions of a system of parabolic equations ⋮ An Asymptotical Stability in Variational Sense for Second Order Systems ⋮ Exact controllability of the suspension bridge model proposed by Lazer and McKenna ⋮ Approximate controllability of abstract nonsimple thermoelastic problem

Cites Work

• Center manifolds and contractions on a scale of Banach spaces
• Existence and stability of large scale nonlinear oscillations in suspension bridges
• A boundedness result of Landesman-Lazer type
• Global asymptotic stability of a forced Newtonian system with dissipation
• The Structure of the Solution Set for Periodic Oscillations in a Suspension Bridge Model
• Boundedness and global asymptotic stability of a forced oscillator

This page was built for publication: Existence of bounded solutions to a second-order system with dissipation