Semilinear Neutral Differential Equations with Impulses and Nonlocal Conditions

被引：0

作者：

Leiva, Hugo ^{[1
]}

Riera-Segura, Lenin ^{[1
]}

Lalvay, Sebastian ^{[1
]}

机构：

[1] Yachay Tech, Dept Math, Sch Math & Computat Sci, San Miguel De Urcuqui, Imbabura, Ecuador

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2025年 / 33卷 / 02期

关键词：

Semilinear neutral differential equations; Impulses; Delay; Nonlocal conditions; Banach fixed-point theorem; CONTROLLABILITY;

D O I：

10.1007/s12591-025-00707-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and uniqueness of solutions for a semilinear neutral differential equation with impulses and nonlocal conditions. We assume that the nonlinear terms are globally Lipschitz, which allows us to prove the existence and uniqueness of solutions via Banach fixed-point theorem. Finally, we present an example as an application of our method.

引用

页码：757 / 766

页数：10

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