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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
引用本文: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,2013(6):573-576.
作者姓名:胡令雄  李德宜  任帅
作者单位:武汉科技大学理学院,武汉430065
基金项目: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)
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.

关 键 词:正解  存在性  多重性  不动点定理

Condition for exactly five positive solutions to a second-order Neumann boundary value problem with singular nonlinearity
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(6):573-576.
Authors:HU Lingxiong;LI Deyi;REN Shuai
Affiliation:HU Lingxiong;LI Deyi;REN Shuai;College of Sciences,Wuhan University of Science and Technology;
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.
Keywords:positive solution  existence  multiplicity  fixed point theorem
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