摘要
利用度数理论考察了非线性二阶Neumann边值问题的正解。结论表明这个问题可以具有n个正解,只要非线性项在某些有界集上的高度和增长是适当的,其中n是一个任意的自然数。
By using the degree theory, the positive solutions of nonlinear second-order Neumann boundary value problems are considered. The results show that the problems may have n positive solutions provided the heights and growth of nonlinear term are appropriate on some bounded sets, where n is an arbitrary natural number.
出处
《工程数学学报》
CSCD
北大核心
2006年第5期939-942,共4页
Chinese Journal of Engineering Mathematics
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
