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Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term
Journal article   Open access  Peer reviewed

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

Abdelbaki Choucha, Salah Mahmoud Boulaaras, Djamel Ouchenane and Ali Allahem
Journal of function spaces, Vol.2021, pp.1-18
2021
DOI: https://doi.org/10.1155/2021/6683465

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1155/2021/6683465View
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