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

Authors :
Pervaiz, Bakhtawar
Zada, Akbar
Source :
Qualitative Theory of Dynamical Systems; Feb2024, Vol. 23 Issue 1, p1-12, 12p
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15755460
Volume :
23
Issue :
1
Database :
Complementary Index
Journal :
Qualitative Theory of Dynamical Systems
Publication Type :
Academic Journal
Accession number :
172901804
Full Text :
https://doi.org/10.1007/s12346-023-00872-2