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Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms
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Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms

Salah Mahmoud Boulaaras, Rafik Guefaifia, Nadia Mezouar and Ahmad Mohammed Alghamdi
Journal of function spaces, Vol.2020, pp.1-15
2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The current paper deals with the proof of a global solution of a viscoelasticity singular one-dimensional system with localized frictional damping and general source terms, taking into consideration nonlocal boundary condition. Moreover, similar to that in Boulaaras' recent studies by constructing a Lyapunov functional and use it together with the perturbed energy method in order to prove a general decay result.
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https://doi.org/10.1155/2020/5085101View
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