Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators

被引：22

作者：

Chang, Y. K. ^{[1
]}

Li, W. S. ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Math Phys & Software Engn, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 144卷 / 03期

关键词：

Impulsive differential equations; Neutral integro-differential equations; State-dependent delays; Analytic resolvents; NONLOCAL INITIAL CONDITIONS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; BANACH-SPACE; EXISTENCE; INCLUSIONS;

D O I：

10.1007/s10957-009-9612-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper is mainly concerned with the existence of mild solutions for a first-order impulsive neutral integro-differential equation with state-dependent delay. We assume that the undelayed part generates an analytic resolvent operator and transforms it into an integral equation. By using a fixed-point theorem for condensing maps combined with theories of analytic resolvent operators, we prove some existence theorems. As an application of these main theorems, some practical consequences are derived.

引用

页码：445 / 459

页数：15

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