General decay and blow-up results for nonlinear fourth-order integro-differential equation
From MaRDI portal
Publication:2322997
DOI10.1007/s13226-018-0298-zzbMath1421.35227OpenAlexW2902856390WikidataQ115376126 ScholiaQ115376126MaRDI QIDQ2322997
Publication date: 30 August 2019
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-018-0298-z
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)
Related Items
On the behavior of solutions for a class of nonlinear viscoelastic fourth-order \(p(x)\)-Laplacian equation, Blow‐up results for a viscoelastic beam equation of p‐Laplacian type with strong damping and logarithmic source
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
- General and optimal decay for a quasilinear viscoelastic equation
- Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations
- Blow-up of solution for a nonlinear Petrovsky type equation with memory
- General decay of the solution energy in a viscoelastic equation with a nonlinear source
- On global solutions and blow-up of solutions for a nonlinearly damped Petrovsky system
- Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
- Decay rates for viscoelastic plates with memory
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Global existence and asymptotic stability for viscoelastic problems
- General decay result for nonlinear viscoelastic equations
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- A note on blow-up of solutions for a class of fourth-order wave equation with viscous damping term
- Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy
- On the strongly damped wave equation with nonlinear damping and source terms
- A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
- Global existence and nonexistence in a system of Petrovsky
