Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions

Author:

Boulaaras Salah, ,Choucha Abdelbaki,Cherif Bahri,Alharbi Asma,Abdalla Mohamed, , , ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

1. M. M. Al-Gharabli, A. M. Al-Mahdi, S. A. Messaoudi, New general decay result for a system of two singular nonlocal viscoelastic equations with general source terms and a wide class of relaxation functions, Boundary Value Probl., 2020 (2020), 1–17.

2. J. Ball, Remarks on blow-up and nonexistence theorems for nonlinear evolutions equation, Q. J. Math., 28 (1977), 473–486.

3. S. Boulaaras, R. Guefaifia, N. Mezouar, Global existence and decay for a system of two singular one-dimensional nonlinear viscoelastic equations with general source terms, Appl. Anal., 2020. Available from: https://doi.org/10.1080/00036811.2020.1760250.

4. S. Boulaaras, A. Choucha, D. Ouchenane, B. Cherif, Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms, Adv. Differ. Equations, 2020 (2020), 310. Available from: https://doi.org/10.1186/s13662-020-02772-0.

5. M. M. Cavalcanti, D. Cavalcanti, J. Ferreira, Existence and uniform decay for nonlinear viscoelastic equation with strong damping, Math. Methods Appl. Sci., 24 (2001), 1043–1053.

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