Turkish Journal of Mathematics
Abstract
We study the problem of continuous dependence on parameters for solutions to initial-boundary value problems for nonlinear strongly damped wave equations. Specifically, we consider three classes of equations: a strongly damped wave equation with a nonlinear damping term; a strongly damped wave equation incorporating both a nonlinear damping term and a nonlinear source term; and a strongly damped wave equation with a nonlinear source term and a linear weak damping term. For each class, we establish structural stability results, showing that the solutions depend continuously on the relevant parameters.
DOI
10.55730/1300-0098.3612
Keywords
Strongly damped wave equation with nonlinear damping, structural stability, continuous dependence
First Page
614
Last Page
624
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ISAYEVA, S, & KALANTAROV, V (2025). Structural stability for damped nonlinear wave equations. Turkish Journal of Mathematics 49 (5): 614-624. https://doi.org/10.55730/1300-0098.3612
