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CONTROLLABILITY OF NONLINEAR INTEGRO-DIFFERENTIAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS IN BANACH SPACES
Keywords:
controllability, nonlocal conditions, integro-differential evolution equations, mild solutions, measure of noncompactness, resolvent operator, Mönch fixed-point theoremDOI:
https://doi.org/10.17654/0972087126025Abstract
In this work, we examine the controllability of a class of nonlinear integro-differential evolution equations with nonlocal conditions in Banach spaces. The main results are derived using resolvent operator theory, measures of noncompactness, and Mönch’s fixed-point theorem. These methods allow for the relaxation of compactness assumptions, extending the applicability of the framework to a broader class of systems. To validate the theoretical findings, an illustrative example is presented, demonstrating the effectiveness of the proposed approach.
Received: June 5, 2025
Accepted: September 10, 2025
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