ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

New Stability Estimates of Solutions to Strong Damped Wave Equation with Logarithmic External Forces

Discontinuity, Nonlinearity, and Complexity 10(4) (2021) 625--634 | DOI:10.5890/DNC.2021.12.004

Nabil Houma$^1$, Khaled Zennir$^2$ , Abderrahmane Beniani$^3$, Abdelhak Djebabela$^1$

$^1$ Department of mathematics, University Badji Mokhtar, Annaba, Algeria

$^2$ Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

$^3$ Laboratory ACEDP, Center University of Belhadj Bouchaib -B.P. 284 RP, Ain Temouchent 46000, Algeria

Abstract

In ths paper, we consider a new stability results of solutions to class of wave equations with weak, strong damping terms and logarithmic source in $\mathbb{R}^n$. We prove general stability estimates by introducing suitable Lyapunov functional.

Acknowledgments

The author expresses sincerely thanks to the referees for their constructive comments and suggestions that helped to improve this paper. \begin{thebibliography}{999}

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