General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms-Reference-Cited by-同舟云学术

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

Published:2020-11-30 Issue:1 Volume:2020 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Boulaaras Salah,Kamache Fares,Bouizem Youcef,Guefaifia Rafik

Abstract

AbstractThe 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.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-020-01470-w.pdf

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