Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive-negative damping

DOI10.1016/j.aml.2012.03.022zbMath1246.35042OpenAlexW1966219098MaRDI QIDQ441923

Shun-Tang Wu

Publication date: 8 August 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.03.022

zbMATH Keywords

intermittent dampingon-off damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (1)

The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms

Cites Work

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• On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type
• Stability of solutions for nonlinear wave equations with a positive-negative damping
• Asymptotic stability of the equilibrium of the damped oscillator
• Stabilization of the Kirchhoff type wave equation with locally distributed damping
• On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
• ASYMPTOTIC STABILITY OF x″+a(t)x′+x=0
• Stability of Solutions for Some Classes of Nonlinear Damped Wave Equations
• On the asymptotic stability of oscillators with unbounded damping
• Asymptotic Stability for Intermittently Controlled Nonlinear Oscillators
• Asymptotic Stability for Intermittently Controlled Second-Order Evolution Equations

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