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奇异非线性二阶诺伊曼边值问题恰有5个正解的条件
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武汉科技大学冶金工业过程系统科学湖北省重点实验室开放基金（C201005）


Condition for exactly five positive solutions to a second-order Neumann boundary value problem with singular nonlinearity
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    摘要:

    主要研究奇异非线性二阶诺伊曼边值问题的正解个数.应用比较原理、最大值原理和上界方法得出了在一定条件下，该问题恰好有5个正解的结果.

    Abstract:

    In this paper,the number of solutions to a second-order Neumann boundary value problem with singular nonlinearity are concerned.Comparison theorem,maximum principle and upper solutions method are employed to come to a conclusion that,in some condition,the number of solutions for this problem is exactly five.

    参考文献
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    [5] Sudhasree G, Joseph A I.Exact multiplicity of positive solutions in semipositone problems with concave-convex type nonliearities[J].Electronic J Qual Theory Diff Equat, 2001, 4:1-9
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    [7] Ortega R, Zhang M.Optimal bounds for bifurcation values of a superlinear periodic problem[J].Proc Royal Soc Edinburgh:Section of Edinburgh, 2005, 135(1):119-132
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    [9] Feng Y Q, Li G J.Exact three positive solutions to a second-roder Neumann boundary value problem with singular nonlinearity[J].The Arabian Journal for Science and Engineering, 2010, 35(2D):189-195
    [10] Amann H.Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces[J].SIAM Review, 1976, 18(4):620-709
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胡令雄,李德宜,任帅.奇异非线性二阶诺伊曼边值问题恰有5个正解的条件[J].南京信息工程大学学报(自然科学版),2013,5(6):573-576
HU Lingxiong, LI Deyi, REN Shuai. Condition for exactly five positive solutions to a second-order Neumann boundary value problem with singular nonlinearity[J]. Journal of Nanjing University of Information Science & Technology, 2013,5(6):573-576

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  • 收稿日期:2012-07-12

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