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Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents.
- Source :
- Journal of Inequalities & Applications; 4/11/2024, Vol. 2024 Issue 1, p1-32, 32p
- Publication Year :
- 2024
-
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 . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2024
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 176561896
- Full Text :
- https://doi.org/10.1186/s13660-024-03132-2