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- Title
Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents.
- Authors
Boulaaras, Salah; Choucha, Abdelbaki; Ouchenane, Djamel; Jan, Rashid
- Abstract
In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term f 1 = f 2 = 0 .
- Subjects
EXPONENTS; EQUATIONS; DELAY differential equations; LYAPUNOV exponents; INTEGRAL inequalities; BLOWING up (Algebraic geometry); PARTIAL differential equations
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03132-2