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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 Applications volume 2010, Article number: 965313 (2010) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, China

    Yan Wang & Qihu Zhang

  2. School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China

    Yan Wang & Qihu Zhang

  3. Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan, 453003, China

    Yunrui Guo

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  1. Yan Wang
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  2. Yunrui Guo
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  3. Qihu Zhang
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Correspondence to Qihu Zhang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wang, Y., Guo, Y. & Zhang, Q. Existence and Asymptotic Behavior of Solutions for Weighted -Laplacian Integrodifferential System Multipoint and Integral Boundary Value Problems in Half Line. J Inequal Appl 2010, 965313 (2010). https://doi.org/10.1155/2010/965313

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

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