Existence of Solutions for a Weighted p(t) -Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions

Existence of Solutions for a Weighted p(t) -Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions

By the Leray-Schauder's degree, the existence of solutions for a weighted p(t) -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, r...

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Veröffentlicht in:Journal of inequalities and applications 2010-01, Vol.2010
Hauptverfasser: Dong, Rong, Guo, Yunrui, Zhao, Yuanzhang, Zhang, Qihu
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary value problems
Mathematics
Studies
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Zusammenfassung:By the Leray-Schauder's degree, the existence of solutions for a weighted p(t) -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.
ISSN:1025-5834
1029-242X
DOI:10.1155/2010/392545