Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan-Taylor damping

DOI10.1186/s13661-021-01555-0zbMath1486.35049OpenAlexW3199562835MaRDI QIDQ2126823

Abdelbaki Choucha, Salah Mahmoud Boulaaras

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-021-01555-0

zbMATH Keywords

energy methodKirchhoff equationexponential decayviscoelastic termdistributed delay term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Higher-order semilinear hyperbolic equations (35L76)

Related Items (4)

Growth of solutions with \(L^{2(p+2)} \)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms ⋮ On the global solutions of abstract wave equations with high energies ⋮ Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents ⋮ A general decay criterion for a viscoelastic equation with nonlinear distributed delay and damping effects

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