Solving damped elastic inclusions with history-dependent operators and nonconvex-valued perturbations
Abstract
In this article, we investigate damped elastic inclusion systems characterized by nonconvex-valued perturbations, the summation of dual multivalued mappings, and history-dependent operators. By extending standard convex frameworks, these perturbations facilitate the modeling of discontinuous and complex dynamics often found in real-world systems. Our primary contribution is the derivation of a novel existence theorem for mild solutions under suitable conditions. Lastly, the proposed theoretical results are validated through a detailed examination of elastic feedback control systems as an application.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Stability and Control of Uncertain Systems
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Frontiers in Physics
- Publisher
- Frontiers Media SA
- Volume
- 14
- Publication date
- 11 March 2026
- Language
- EN