On solutions for a hyperbolic system with differential inclusion and memory source term on the boundary

DOI10.1016/j.na.2004.02.024zbMath1050.35052OpenAlexW2079224125MaRDI QIDQ1879684

Sun Hye Park, Jong Yeoul Park

Publication date: 23 September 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.02.024

zbMATH Keywords

existence of solutionuniform decayboundary differential inclusionboundary memory source termnonlinear second-order PDE of hyperbolic type

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (9)

Optimal control problems for hyperbolic equations with damping terms involving p-Laplacian ⋮ Unnamed Item ⋮ Existence and asymptotic stability of solutions for hyperbolic differential inclusions with a source term ⋮ Global solutions for a nonlinear hyperbolic equation with boundary memory source term ⋮ Existence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditions ⋮ General decay for quasilinear viscoelastic equations with nonlinear weak damping ⋮ Energy decay for nondissipative distributed systems with boundary damping and source term ⋮ Regularity of parabolic hemivariational inequalities with boundary conditions ⋮ Boundary stabilization of hyperbolic hemivariational inequalities

Cites Work

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• On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities
• Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation
• Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
• On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• Existence of solutions for hyperbolic hemivariational inequalities
• Nonlinear hemivariational inequalities at resonance
• Discontinuous Semilinear Differential Equations and Multiple Valued Maps
• On parabolic hemivariational inequalities and applications
• Asymptotic behaviour of the energy in partially viscoelastic materials
• A parabolic hemivariational inequality

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