EXISTENCE RESULTS OF SECOND ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY AND FRACTIONAL DAMPING

被引：1

作者：

Xie, Shengli ^{[1
]}

机构：

[1] Anhui Univ Architecture, Sch Math & Phys, Ziyun Rd, Hefei 230601, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 01期

关键词：

Mild solutions; classical solutions; strong solution; continuous dependence; fixed point; MILD SOLUTIONS; UNIQUENESS;

D O I：

10.11948/2017020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence, uniqueness, regularity and continuous dependence of mild solutions for second order impulsive functional differential equations with infinite delay and fractional damping in Banach spaces. We generalize the existence theorem of integer order differential equations to the fractional order case. The results obtained here improve and generalize some known results.

引用

页码：291 / 308

页数：18

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