Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms

Nadia Mezouar, Salah Boulaaras

Abstract


In this paper, a singular one-dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition and damping terms is considered. We prove the existence of a global solution using the potential-well theory. Furthermore, by constructing Lyapunov functional combined with the perturbed energy method, the general decay result is proved.

Keywords


Viscoelastic equations; global existence; general decay; damping terms

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