Results Concerning to Existence for Impulsive Functional Integrodifferential Equation of First Order in Banach Spaces via Resolvent Operators
DOI:
https://doi.org/10.64229/55vftc26Keywords:
NIFIETVD, Resolvent operators, Impulsive conditions, Nonlocal conditions, Leray-Schauder theoremAbstract
In this paper, we presented the existence of mild solutions for a class of first order non local impulsive functional integrodifferential equations with time varying delay (NIFIETVD) in Banach spaces. The investigation is executed within the framework of resolvent operator theory along with fixed point approaches, particularly the Leray-Schauder nonlinear alternative and Banach contraction principle. Sufficient criteria for guaranteeing the existence of solution are established by imposing suitable continuity, compactness and growth conditions on the related nonlinear operator. In contrast to many previous results, the analysis permits the nonlocal term to satisfy weaker continuity assumptions, hence widening the scope of applicability. Moreover, the analysis emphasizes how impulsive effects and nonlocal conditions can be steered within a unified framework, thus enriching the previous existence results for functional integrodifferential equations (FIE). At last, to validate the abstract results, a concrete application is stated, illustrating the usefulness of the derived outcomes.
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Copyright (c) 2025 Kamalendra Kumar, Manish Nath Tripathi (Author)
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