摘要
考察了一类非线性(p,n-p)聚焦边值问题的正解,其中允许非线性项在边界点处奇异.通过构造非线性项的高度函数并且考察高度函数的积分证明了m个正解的存在性,其中m是一个任意的自然数.
The positive solutions were considered for a class of nonlinear （p,n-P） focal boundary value problems where a nonlinear term was allowed to be singular at boundary points. By constructing the height functions of nonlinear term and considering the integrations of height functions, the existence of m positive solutions was proven where m was an arbitrary natural number.
基金
Supported by NNSF of China(10571085).
关键词
非线性常微分方程
边值问题
正解
存在性
多解性
nonlinear ordinary differential equation
boundary value problem
positive solution
existence
multiplicity
