Uniform Decay for Hyperbolic Differential Inclusion with Memory Condition at the Boundary

DOI10.1080/01630560600884497zbMath1107.35090OpenAlexW2027199574MaRDI QIDQ3422783

Jum-Ran Kang, Jong Yeoul Park

Publication date: 14 February 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600884497

zbMATH Keywords

differential inclusionuniform decayboundary memory conditions

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Asymptotic behavior of solutions to PDEs (35B40) PDEs with multivalued right-hand sides (35R70) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

General stability for a von Kármán plate system with memory boundary conditions ⋮ General decay for the degenerate equation with a memory condition at the boundary ⋮ Existence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditions ⋮ Energy decay rates for a hyperbolic differential inclusion with viscoelastic boundary conditions

Cites Work

• Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary
• On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities
• Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term
• Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain

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