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Existence Results for the Solution of Abstract Neutral Impulsive Differential Problems with State-Dependent Delay

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Abstract

This article is dedicated to investigate the existence and uniqueness of solutions for abstract neutral differential equations with state-dependent time impulses. We employ the Banach contraction method and the Schauder’s fixed point approach to establish our results. In order to prove our findings, certain assumptions are made. Additionally, we provide an example to illustrate the application of our theoretical results.

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Authors and Affiliations

  1. Department of Mathematics, University of Peshawar, 25000, Peshawar, Pakistan

    Bakhtawar Pervaiz & Akbar Zada

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  1. Bakhtawar Pervaiz
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  2. Akbar Zada
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All the authors equally contributed to this manuscript. Also, all the authors reviewed and approved the manuscript.

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Correspondence to Akbar Zada.

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Pervaiz, B., Zada, A. Existence Results for the Solution of Abstract Neutral Impulsive Differential Problems with State-Dependent Delay. Qual. Theory Dyn. Syst. 23, 21 (2024). https://doi.org/10.1007/s12346-023-00872-2

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