Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term | Zendy

Abdelbaki Choucha | Zendy; Salah Boulaaras | Zendy; Djamel Ouchenane | Zendy; Ali Allahem | Zendy

Open Access

Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term

Author(s) -

Abdelbaki Choucha,

Salah Boulaaras,

Djamel Ouchenane,

Ali Allahem

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6683465

Subject(s) - term (time) , nonlinear system , viscoelasticity , mathematics , work (physics) , lyapunov function , mathematical analysis , function (biology) , physics , evolutionary biology , biology , thermodynamics , quantum mechanics

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.

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