Impulsive nonlocal differential equations through differential equations on time scales

被引：18

作者：

Cichon, Mieczyslaw ^{[2
]}

Satco, Bianca ^{[1
]}

Sikorska-Nowak, Aneta ^{[2
]}

机构：

[1] Stefan Cel Mare Univ, Fac Elect Engn & Comp Sci, Suceava, Romania

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期

关键词：

Time scale; Dynamic equation; Impulsive nonlocal Cauchy problem; Henstock-Lebesgue integral; DYNAMIC EQUATIONS; INTEGRAL-EQUATIONS; EXISTENCE; INCLUSIONS; THEOREMS; LEBESGUE; DELTA;

D O I：

10.1016/j.amc.2011.07.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a non-standard approach to impulsive differential equations in Banach spaces by embedding this type of problems into differential (dynamic) problems on time scales. We give an existence result for dynamic equations and, as a consequence, we obtain an existence result for impulsive differential equations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2449 / 2458

页数：10

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