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Discontinuity, Nonlinearity, and Complexity 11(3) (2022) 387--393 | DOI:10.5890/DNC.2022.09.002

K. Karthikeyan$^1$, J.J. Nieto$^2$

$^1$ Department of Mathematics \& Centre for Research and Development, KPR Institute of Engineering and Technology Coimbatore - 641 407, Tamil Nadu, India

$^2$ Department of Statistics, Mathematical Analysis and Optimization, Institute of Mathematics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain

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Abstract

We study existence,uniqueness and continuous dependence of a mild solution for an impulsive neutral functional differential nonlocal Cauchy problem with state- dependent delay in general Banach spaces are studied by using the fixed point technique and semigroup of operators.

Acknowledgments

The authors are highly grateful thank to Editor and referees of the journal for their comments. The second authour J.J. Nieto was partially supported by Xunta de Galicia [grant ED431C 2019/02] and by project MTM2016-75140-P (AEI/FEDER, UE).

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