Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application

This paper establishes variation of parameters formula for impulsive differential equations with initial time difference. As an application, one of the results is used to investigate stability properties of solutions.

Bibliographic Details
Main Authors: Peiguang Wang, Xiaowei Liu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/725832
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spelling doaj-1c9449dc2dd449b79fcfe67bdb3ac8e22020-11-24T22:02:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/725832725832Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and ApplicationPeiguang Wang0Xiaowei Liu1College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaThis paper establishes variation of parameters formula for impulsive differential equations with initial time difference. As an application, one of the results is used to investigate stability properties of solutions.http://dx.doi.org/10.1155/2014/725832
collection DOAJ
language English
format Article
sources DOAJ
author Peiguang Wang
Xiaowei Liu
spellingShingle Peiguang Wang
Xiaowei Liu
Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application
Abstract and Applied Analysis
author_facet Peiguang Wang
Xiaowei Liu
author_sort Peiguang Wang
title Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application
title_short Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application
title_full Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application
title_fullStr Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application
title_full_unstemmed Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application
title_sort nonlinear variation of parameters formula for impulsive differential equations with initial time difference and application
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This paper establishes variation of parameters formula for impulsive differential equations with initial time difference. As an application, one of the results is used to investigate stability properties of solutions.
url http://dx.doi.org/10.1155/2014/725832
work_keys_str_mv AT peiguangwang nonlinearvariationofparametersformulaforimpulsivedifferentialequationswithinitialtimedifferenceandapplication
AT xiaoweiliu nonlinearvariationofparametersformulaforimpulsivedifferentialequationswithinitialtimedifferenceandapplication
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