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Existence and Asymptotic Behavior of Solutions for Weighted -Laplacian Integrodifferential System Multipoint and Integral Boundary Value Problems in Half Line

Journal of Inequalities and Applications20102010:965313

https://doi.org/10.1155/2010/965313

Received: 5 February 2010

Accepted: 28 June 2010

Published: 13 July 2010

Abstract

This paper investigates the existence and asymptotic behavior of solutions for weighted -Laplacian integro-differential system with multipoint and integral boundary value condition in half line. When the nonlinearity term satisfies sub- growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree. Moreover, the existence of nonnegative solutions has been discussed.

Keywords

Growth ConditionAsymptotic BehaviorNonlinearity TermFull ArticleIntegral Boundary

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Authors’ Affiliations

(1)
Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, China
(2)
School of Mathematical Science, Xuzhou Normal University, Xuzhou, China
(3)
Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China

Copyright

© Yan Wang et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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