scientific article; zbMATH DE number 2020112
From MaRDI portal
Publication:4440778
zbMath1040.35046MaRDI QIDQ4440778
Messaoudi A. Salim, Nasser-eddine Tatar
Publication date: 2003
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)
Related Items (51)
Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity ⋮ Long-time stabilization of solutions to a nonautonomous semilinear viscoelastic equation ⋮ Global Existence and Uniform Decay of Solutions for a Coupled System of Nonlinear Viscoelastic Wave Equations with Not Necessarily Differentiable Relaxation Functions ⋮ Exponential or polynomial decay of solutions to a viscoelastic equation with nonlinear localized damping ⋮ Blow-up of solution for a viscoelastic wave equation with delay ⋮ Energy decay for a viscoelastic Kirchhoff plate equation with a delay term ⋮ On asymptotic behavior and blow-up of solutions for a nonlinear viscoelastic Petrovsky equation with positive initial energy ⋮ On the control of solutions of a viscoelastic equation ⋮ Global well-posedness and stability for a viscoelastic plate equation with a time delay ⋮ General and optimal decay for a viscoelastic equation with boundary feedback ⋮ Unnamed Item ⋮ Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms ⋮ Exponential decay and blow-up results for a viscoelastic equation with variable sources ⋮ Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term ⋮ General decay of solutions of a nonlinear system of viscoelastic wave equations ⋮ Blow up of arbitrarily positive initial energy solutions for a viscoelastic wave equation ⋮ Global existence, uniqueness and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term ⋮ Asymptotic stability of solutions to a semilinear viscoelastic equation with analytic nonlinearity ⋮ Uniform decay in viscoelasticity for kernels with small non-decreasingness zones ⋮ A new class of kernels leading to an arbitrary decay in viscoelasticity ⋮ Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms ⋮ Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms ⋮ Polynomial stability without polynomial decay of the relaxation function ⋮ Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions ⋮ Existence and asymptotic stability of a viscoelastic wave equation with a delay ⋮ Global nonexistence of positive initial energy solutions for a viscoelastic wave equation ⋮ General decay of the solution energy in a viscoelastic equation with a nonlinear source ⋮ Exponential and polynomial decay for a quasilinear viscoelastic equation ⋮ General decay for a viscoelastic wave equation with strong time-dependent delay ⋮ Global existence, decay, and blow up of solutions of a singular nonlocal viscoelastic problem ⋮ Solvability of a mixed nonlocal problem for a nonlinear singular viscoelastic equation ⋮ Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation ⋮ Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay ⋮ Decay of an extensible viscoelastic plate equation with a nonlinear time delay ⋮ General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source ⋮ Unnamed Item ⋮ General decay rates for a viscoelastic wave equation with dynamic boundary conditions and past history ⋮ Energy decay of solutions for a variable-coefficient viscoelastic wave equation with a weak nonlinear dissipation ⋮ Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive ⋮ Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms ⋮ Unnamed Item ⋮ Study of a viscoelastic wave equation with a strong damping and variable exponents ⋮ On the control of solutions of viscoelastic equations with boundary feedback ⋮ Exponential decay for a quasilinear viscoelastic equation ⋮ Uniform decay of solutions for a quasilinear system of viscoelastic equations ⋮ On a large class of kernels yielding exponential stability in viscoelasticity ⋮ Polynomial-exponential stability and blow-up solutions to a nonlinear damped viscoelastic Petrovsky equation ⋮ Well-posedness and stability results for some nonautonomous abstract linear hyperbolic equations with memory ⋮ Uniform boundedness and stability for a viscoelastic problem ⋮ On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history
This page was built for publication: