Discontinuity, Nonlinearity, and Complexity
New Stability Estimates of Solutions to Strong Damped Wave Equation with Logarithmic External Forces
Discontinuity, Nonlinearity, and Complexity 10(4) (2021) 625634  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, ArRass, Saudi Arabia
$^3$ Laboratory ACEDP, Center University of Belhadj Bouchaib B.P. 284
RP, Ain Temouchent 46000, Algeria
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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.
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