Solvability Analysis of Damped Elastic Inclusions With Memory Terms

ABSTRACT

This study analyzes the dynamics of damped elastic inclusion systems incorporating memory terms and subject to nonconvex set‐valued perturbations. A key advancement presented here is methodological: our primary result demonstrates that, under suitable regularity conditions, mild solutions to the problem are guaranteed to exist. Employing the preceding theoretical results, we translate our findings into a concrete investigation of elastic feedback control systems with memory, analyzing their specific solution profiles.