Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms
oleh: Salah Mahmoud Boulaaras, Rafik Guefaifia, Nadia Mezouar, Ahmad Mohammed Alghamdi
| Format: | Article |
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| Diterbitkan: | Hindawi Limited 2020-01-01 |
Deskripsi
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.