奇异非线性二阶诺伊曼边值问题正解个数的研究  

THE RESEARCH ON NUMBER OF SOLUTIONS OF A SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM WITH SINGULAR NONLINEARITY

作　　者：胡令雄[1] 李德宜[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430065

出　　处：《数学杂志》2013年第5期929-934,共6页Journal of Mathematics

基　　金：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发基金资助(C201005)

摘　　要：本文主要研究奇异非线性二阶诺伊曼边值正解的个数问题.利用比较定理,最大值原理和上界方法,得出了在一定条件下,该问题恰好有奇数个正解的结果.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 odd.

关 键 词：正解 存在性 多重性 不动点定理 

分 类 号：O175.8[理学—数学]