Solving damped elastic inclusions with history-dependent operators and nonconvex-valued perturbations
Year: 2026
Type: article
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.
Source: Frontiers in Physics
Authors: Hasanen A. Hammad, Doha A. Kattan
Institutions: Qassim University, King Abdulaziz University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,077
OpenAlex ID: W7134979233