摘要
考察了一类特殊非线性Neumann边值问题。该类边值问题没有Green函数,能够通过适当的变换将其转化为一般Neumann边值问题。利用积分方程和锥上的度数理论证明了这类问题的n个正解的存在性,其中n是一个任意的自然数。
The purpose of this paper is to consider a kind of special nonlinear Neumann boundary value problems. The kind of boundary value problems has not Green function. Using suitable transformation,we can change these problems to general Neumann boundary value problems. By applying integral equation and degree theory on cone,the existence of n positive solutions is proved for the kind of problems,where n is an arbitrary natural number.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第9期93-95,98,共4页
Journal of Chongqing University
基金
国家自然科学基金资助项目(10571085)
关键词
二阶常微分方程
NEUMANN边值问题
正解
存在性
多解性
second-order ordinary differential equation
Neumann boundary value problem
positive solution
existence
multiplicity
