Translator Disclaimer
2020 Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms
Nadia Mezouar, Salah Boulaaras
Topol. Methods Nonlinear Anal. 56(1): 283-312 (2020). DOI: 10.12775/TMNA.2020.014

Abstract

In this paper, a singular one-dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition and damping terms is considered. We prove the existence of a global solution using the potential-well theory. Furthermore, by constructing Lyapunov functional combined with the perturbed energy method, the general decay result is proved.

Citation

Download Citation

Nadia Mezouar. Salah Boulaaras. "Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms." Topol. Methods Nonlinear Anal. 56 (1) 283 - 312, 2020. https://doi.org/10.12775/TMNA.2020.014

Information

Published: 2020
First available in Project Euclid: 11 June 2020

MathSciNet: MR4175080
Digital Object Identifier: 10.12775/TMNA.2020.014

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

JOURNAL ARTICLE
30 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.56 • No. 1 • 2020
Back to Top