Sign in
Back
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
Journal article   Open access  Peer reviewed

General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms

Salah Boulaaras, Fares Kamache, Youcef Bouizem and Rafik Guefaifia
Boundary value problems, Vol.2020(1), pp.1-24
30/11/2020
DOI: https://doi.org/10.1186/s13661-020-01470-w

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy.
url
https://doi.org/10.1186/s13661-020-01470-wView
Published (Version of record) Open

Metrics

1 Record Views

Details