Stability result for a system of nonlinear k -wave equations with damping and source terms
In this paper, we consider a system of nonlinear K-wave equations (K >= 2) with damping acting in all equations and source terms. We will prove that the solution of the problem is stable for some conditions with a small positive initial energy, by using the integral inequility due to Komornik.
Authors
- Wissem Boughamsa (ORCID: https://orcid.org/0000-0002-7733-5322)
- Amar Ouaoua (ORCID: https://orcid.org/0000-0002-8468-1696)
Institutions
- University of Skikda (DZ)
Publication Details
- Journal
- Boletim da Sociedade Paranaense de Matemática
- Published
- 2025-02-12
- DOI
- https://doi.org/10.5269/bspm.62602
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00