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

被引：7

作者：

Pervaiz, Bakhtawar ^{[1
]}

Zada, Akbar ^{[1
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 01期

关键词：

Analytic semigroup; Impulsive differential equation; Mild solution; State dependent delay; EQUATIONS; MODEL;

D O I：

10.1007/s12346-023-00872-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：12

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