Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

DOI10.1186/S13660-024-03132-2zbMATH Open1540.35056MaRDI QIDQ6552093

Djamel Ouchenane, Rashid Jan, Abdelbaki Choucha, Salah Mahmoud Boulaaras

Publication date: 8 June 2024

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

zbMATH Keywords

partial differential equationsblow upexponential growthvariable exponentsgeneral decayviscoelastic equationdistributed delay term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

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Related Items (3)

On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions ⋮ Global existence and general decay for a nonlinear wave equation with acoustic and fractional boundary conditions coupling by source and delay terms ⋮ Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay

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