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

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,...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 23; no. 1
Main Authors Pervaiz, Bakhtawar, Zada, Akbar
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2024
Springer Nature B.V
Subjects
Difference and Functional Equations
Differential equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Impulsive differential equation
34K30
47D06
Analytic semigroup
Mild solution
State dependent delay
35R12
34K45
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Summary: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00872-2