Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term,nonlocal boundary condition,and localized damping term |
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| Authors: | Salah Boulaaras Nadia Mezouar |
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| Affiliation: | 1. Department of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Kingdom of Saudi Arabia;2. Faculty of Economics, Mustapha Stambouli University, Mascara, Algeria |
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| Abstract: | The paper deals with the existence of a global solution of a singular one-dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized frictional damping a(x)ut using the potential well theory. Furthermore, the general decay result is proved. We construct a suitable Lyapunov functional and make use of the perturbed energy method. |
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| Keywords: | damping terms general decay global existence viscoelastic equations |
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