EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM

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摘要 In this paper, we study a nonlinear semipositone Neumann boundary value problem. Under some suitable conditions, we prove the existence and multiplicity of positive solutions to the problem, based on Krasnosel’skii’s fixed point theorem in cones. In this paper, we study a nonlinear semipositone Neumann boundary value problem. Under some suitable conditions, we prove the existence and multiplicity of positive solutions to the problem, based on Krasnosel’skii’s fixed point theorem in cones.

作者 Ruipeng Chen , Yanqiong Lu (Dept. of Math., Northwest Normal University, Lanzhou 730070)

出处《Annals of Differential Equations》 2012年第2期137-145,共9页 微分方程年刊（英文版）

基金 supported by the NNSF of China (11061030)

关键词 Krasnosel’skii’s fixed point theorem in cones semipositone Neumann boundary value problems positive solutions MULTIPLICITY Krasnosel’skii’s fixed point theorem in cones semipositone Neumann boundary value problems positive solutions multiplicity

分类号 O175.8 [理学—基础数学]

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参考文献2

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共引文献33

1Zhilong Li (Dept. of Math., Jiangxi University of Finance and Economics, Nanchang 330013).POSITIVE SOLUTIONS TO A CLASS OF SECOND-ORDER SINGULAR SEMIPOSITIVE NEUMANN BOUNDARY VALUE PROBLEM WITH GENERAL FORM[J].Annals of Differential Equations,2010,26(3):284-291.
2Zhilong Li,Shujun Jiang(Dept. of Math.,Jiangxi University of Finance and Economics,Nanchang 330013).EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUBLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2011,27(3):336-342.
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1Jinjun Fan,Yinghua Yang (School of Mathematical Science,Shandong Normal University,Jinan 250014).POSITIVE SOLUTIONS TO A SEMIPOSITONE SINGULAR NEUMANN BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2009,25(3):301-308.
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6Zhang Mingchuan1,2,Yin Yanmin1(1. Dept. of Math.,Shandong Jianzhu University,Jinan 250101,2. School of Math. and System Sciences,Shandong University,Jinan 250100).POSITIVE SOLUTION TO SINGULAR SEMIPOSITONE(n,p) BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2008,24(2):233-238.
7Zhilong Li (Dept. of Math., Jiangxi University of Finance and Economics, Nanchang 330013).POSITIVE SOLUTIONS TO A CLASS OF SECOND-ORDER SINGULAR SEMIPOSITIVE NEUMANN BOUNDARY VALUE PROBLEM WITH GENERAL FORM[J].Annals of Differential Equations,2010,26(3):284-291.
8Sanhui Liu,Jianli Li.THREE POSITIVE SOLUTIONS TO SECOND-ORDER IMPULSIVE NEUMANN BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2013,29(3):288-294.
9ZHANG Xing-qiu.Existence of Positive Solution for Superlinear Semipositone Singular Second-order m-point Boundary Value Problem[J].Chinese Quarterly Journal of Mathematics,2010,25(1):151-158. 被引量：4
10Qing Liu YAO.Positive Solutions of a Weak Semipositone Third-Order Three-Point Boundary Value Problem[J].Journal of Mathematical Research and Exposition,2010,30(1):173-180. 被引量：1

Annals of Differential Equations

2012年第2期

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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM

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