Answers are grounded in this paper and cite their sources.
This article investigates existence theorems for mild solutions in damped elastic inclusion systems, suggesting new modeling approaches.
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.
No takes yet. Share an insight, caveat, or question.
Hammad et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: