Positive solutions for p-Laplacian fourth-order differential system with integral boundary conditions
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Open access
Authors
Jiang, J.
Liu, L.
Wu, Yong Hong
Date
2012Type
Journal Article
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Jiang, Jiqiang and Liu, Lishan and Wu, Yonghong. 2012. Positive solutions for p-Laplacian fourth-order differential system with integral boundary conditions. Discrete Dynamics in Nature and Society. 2012: 293734:1-293734:19.
Source Title
Discrete Dynamics in nature and Society
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This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/. Please refer to the licence to obtain terms for any further reuse or distribution of this work.
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Abstract
This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth order differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range for λ and μ is derived such that for any λ and μ lie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.