The Study of Asymptotic Behavior of Positive Solutions and its Stability for a New Class of Hyperbolic Differential System

Authors

Mohammed Said Touati Brahim, Department of Mathematics and Computer Science, Larbi Tebessi University, 12002, Tebessa, AlgeriaFollow
Tarek Abdulkafi Alloush, Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Kingdom of Saudi Arabia.Follow
Bahri Belgacem Cherif, Institut preparatoire aux etudes d’ingenieur a Sfax (I.P.E.I.S.Sfax), BP 1172, Sfax, 3018, TunisieFollow
Ahmed Himadan Ahmed, Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Kingdom of Saudi ArabiaFollow

Author Country (or Countries)

Kingdom of Saudi Arabia.

Abstract

This paper deals with the existence of positive solution and its asymptotic behavior for hyperbolic system of (p(x), q(x))-Laplacian system of partial differential equations using a sub and super solution according to some given boundary conditions, Our result is an extension solutions to other previous studies, which treated the stationary case, this study is new for evolutionary case of this kind of the problem. The purpose of our paper provides a framework for image restoration.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130306

Recommended Citation

Said Touati Brahim, Mohammed; Abdulkafi Alloush, Tarek; Belgacem Cherif, Bahri; and Himadan Ahmed, Ahmed (2019) "The Study of Asymptotic Behavior of Positive Solutions and its Stability for a New Class of Hyperbolic Differential System," Applied Mathematics & Information Sciences: Vol. 13: Iss. 3, Article 6.
DOI: http://dx.doi.org/10.18576/amis/130306
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss3/6