非线性(p,n-p)聚焦边值问题的正解(英文)  

Positive solutions of nonlinear(p,n-p) focal boundary value problems

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,江苏南京210003

出　　处：《中国科学技术大学学报》2009年第3期241-246,共6页JUSTC

基　　金：Supported by NNSF of China(10571085).

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.

关 键 词：非线性常微分方程 边值问题 正解 存在性 多解性 

分 类 号：O175.8[理学—数学]