Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term. (16th February 2021)

• Record Type: Journal Article
• Authors: Choucha, Abdelbaki; Boulaaras, Salah Mahmoud; Ouchenane, Djamel; Allahem, Ali
• Other Names: Zaky Mahmoud A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-02-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6683465
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function of Lyapunov, we prove the general decay result of our system.