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Topological Methods in Nonlinear Analysis

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

Authors

  • Nadia Mezouar https://orcid.org/0000-0001-7729-2185
  • Salah Boulaaras https://orcid.org/0000-0002-3458-2403

Keywords

Viscoelastic equations, global existence, general decay, damping terms

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.

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Published

2020-06-07

How to Cite

1.
MEZOUAR, Nadia and BOULAARAS, Salah. Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms. Topological Methods in Nonlinear Analysis. Online. 7 June 2020. Vol. 56, no. 1, pp. 283 - 312. [Accessed 5 July 2025].
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