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Solving damped elastic inclusions with history-dependent operators and nonconvex-valued perturbations
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DOI：10.3389/fphy.2026.1771842.png)
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Abstract
En 中文
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.
Keywords:
damped elastic inclusion
fixed point
mild solution
nonlinear equation
perturbation approach
Journal
F
IF:
2.1
Papers:
200
Citations:
0
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