On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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Systems of nonlinear wave equations with damping and source terms.
Global nonexistence of positive initial-energy solutions of a system of nonlinear wave equations with damping and source terms.
Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
Existence of a solution of the wave equation with nonlinear damping and source terms
General decay for a viscoelastic problem with not necessarily decreasing kernel
Global nonexistence theorems for a class of evolution equations with dissipation
Global existence and general decay of solutions for a quasilinear system with degenerate damping terms
Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan-Taylor damping
Existence and uniform decay for a nonlinear viscoelastic equation with strong damping
Foundations of Linear Viscoelasticity
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
General decay and blowup of solutions for coupled viscoelastic equation of Kirchhoff type with degenerate damping terms
On the decay and global nonexistence of solutions to a damped wave equation with variable-exponent nonlinearity and delay
Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents
Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents
Blow-up and decay of solutions for a viscoelastic Kirchhoff-type equation with distributed delay and variable exponents
Viscoelastic plate equation with variable exponents: existence and blow-up

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