A Local Existence Theorem for Nonlinear Perturbed Abstract Measure Integrodifferential Equations
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Keywords:Abstract measure integrodifferential equation, Relevance theorem, Dhage fixed point principle, Existence theorem
In this paper, we prove the relevance and the local existence theorems for a class of nonlinear perturbed abstract measure integrodifferential equations via classical hybrid fixed point theorem of Dhage (2003) under weaker Lipschitz and Carath\'eodory conditions. Our natural hypotheses and claims have also been illustrated with a numerical example.
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