Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms

DOI10.1186/s13662-020-02801-yzbMath1485.35059OpenAlexW3039530784MaRDI QIDQ2116144

Abdelaziz Rahmoune, Djamel Ouchenane, Praveen Agarwal, Salah Mahmoud Boulaaras

Publication date: 16 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02801-y

zbMATH Keywords

distributed delayexponential growthnonlinear sourcestrong dampingviscoelastic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Soliton equations (35Q51)

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Cites Work

• Unnamed Item
• Unnamed Item
• Solving time-fractional order telegraph equation via Sinc-Legendre collocation method
• Blow up in a nonlinear viscoelastic wave equation with strong damping
• Systems of nonlinear wave equations with damping and source terms.
• Stabilization of the wave equation with boundary or internal distributed delay.
• Blow-up of solutions of a nonlinear viscoelastic wave equation
• A blow-up result in a Cauchy viscoelastic problem
• Global solution for coupled nonlinear Klein-Gordon system
• Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
• Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term
• Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation
• Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
• Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
• On global existence and blow-up of solutions for an integro-differential equation with strong damping
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
• Uniform decay and blow-up of solutions for coupled nonlinear Klein-Gordon equations with nonlinear damping terms
• Optimal Control
• A new regularity criterion for the nematic liquid crystal flows
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms
• General decay for a coupled Lamé system of nonlinear viscoelastic equations
• Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials
• Regularity and entropy solutions of some elliptic equations