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

• Bakhtawar Pervaiz ^[1] ; Akbar Zada ^[1]
  1. [1] University of Peshawar

     University of Peshawar

     Pakistán

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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• Resumen

  • 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.