Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions

Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions

<p/> <p>By the Leray-Schauder's degree, the existence of solutions for a weighted <inline-formula> <graphic file="1029-242X-2010-392545-i2.gif"/></inline-formula>-Laplacian impulsive integro-differential system with multi-point and integral boundary value...

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Main Authors: Guo Yunrui, Zhao Yuanzhang, Dong Rong, Zhang Qihu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/392545
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spelling doaj-8a765c7789614817adffbe3ca28d4d2e2020-11-24T22:58:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101392545Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value ConditionsGuo YunruiZhao YuanzhangDong RongZhang Qihu<p/> <p>By the Leray-Schauder's degree, the existence of solutions for a weighted <inline-formula> <graphic file="1029-242X-2010-392545-i2.gif"/></inline-formula>-Laplacian impulsive integro-differential system with multi-point and integral boundary value conditions is considered. The sufficient results for the existence are given under the resonance and nonresonance cases, respectively. Moreover, we get the existence of nonnegative solutions at nonresonance.</p>http://www.journalofinequalitiesandapplications.com/content/2010/392545
collection DOAJ
language English
format Article
sources DOAJ
author Guo Yunrui
Zhao Yuanzhang
Dong Rong
Zhang Qihu
spellingShingle Guo Yunrui
Zhao Yuanzhang
Dong Rong
Zhang Qihu
Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
Journal of Inequalities and Applications
author_facet Guo Yunrui
Zhao Yuanzhang
Dong Rong
Zhang Qihu
author_sort Guo Yunrui
title Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
title_short Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
title_full Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
title_fullStr Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
title_full_unstemmed Existence of Solutions for a Weighted <inline-formula> <graphic file="1029-242X-2010-392545-i1.gif"/></inline-formula>-Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions
title_sort existence of solutions for a weighted <inline-formula> <graphic file="1029-242x-2010-392545-i1.gif"/></inline-formula>-laplacian impulsive integrodifferential system with multipoint and integral boundary value conditions
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>By the Leray-Schauder's degree, the existence of solutions for a weighted <inline-formula> <graphic file="1029-242X-2010-392545-i2.gif"/></inline-formula>-Laplacian impulsive integro-differential system with multi-point and integral boundary value conditions is considered. The sufficient results for the existence are given under the resonance and nonresonance cases, respectively. Moreover, we get the existence of nonnegative solutions at nonresonance.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/392545
work_keys_str_mv AT guoyunrui existenceofsolutionsforaweightedinlineformulagraphicfile1029242x2010392545i1gifinlineformulalaplacianimpulsiveintegrodifferentialsystemwithmultipointandintegralboundaryvalueconditions
AT zhaoyuanzhang existenceofsolutionsforaweightedinlineformulagraphicfile1029242x2010392545i1gifinlineformulalaplacianimpulsiveintegrodifferentialsystemwithmultipointandintegralboundaryvalueconditions
AT dongrong existenceofsolutionsforaweightedinlineformulagraphicfile1029242x2010392545i1gifinlineformulalaplacianimpulsiveintegrodifferentialsystemwithmultipointandintegralboundaryvalueconditions
AT zhangqihu existenceofsolutionsforaweightedinlineformulagraphicfile1029242x2010392545i1gifinlineformulalaplacianimpulsiveintegrodifferentialsystemwithmultipointandintegralboundaryvalueconditions
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