Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions

DOI10.3934/math.2021274zbMath1484.35278OpenAlexW3132093866MaRDI QIDQ2133219

Mohamed Abdalla, Asma Alharbi, Abdelbaki Choucha, Bahri Belkacem Cherif, Salah Mahmoud Boulaaras

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021274

zbMATH Keywords

blow upsource termviscoelastic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44)

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Cites Work

• Unnamed Item
• Blow up in a nonlinear viscoelastic wave equation with strong damping
• Blow-up of solutions of a nonlinear viscoelastic wave equation
• A nonlinear nonlocal mixed problem for a second order pseudoparabolic equation
• Global existence, decay, and blow up of solutions of a singular nonlocal viscoelastic problem
• Existence and nonexistence of global solutions of some system of semilinear wave equations
• Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator
• Global existence for two singular one-dimensional nonlinear viscoelastic equations with respect to distributed delay term
• Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
• General decay result for nonlinear viscoelastic equations
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Global existence and decay for a system of two singular one-dimensional nonlinear viscoelastic equations with general source terms
• A parabolic equation with nonlocal boundary conditions arising from electrochemistry
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Blow-up of solutions for a system of nonlocal singular viscoelastic equations
• Anatolii Mykhailovych Samoilenko (on his 75th birthday)
• The \(L_2\) solvability of a nonlocal problem with integral conditions for a hyperbolic equation

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