摘要
考察了非线性二阶三点边值问题的n个解和正解的存在性,其中允许非线性项有一个负的下界并且n是一个任意的自然数．主要结论表明该问题可以具有n个解或者正解,只要非线性项在某些有界集上的“高度”是适当的．
The existence of n solutions and positive solutions is considered for a nonlinear second-order three-point boundary value problem where nonlinear term is allowed to have a negative lower bound and n is an arbitrary natural number. The main results show that the problem may possess n solutions or positive solutions provided the ＂heights＂ of nonlinear term are appropriate on some bounded sets.
出处
《应用数学学报》
CSCD
北大核心
2007年第2期209-217,共9页
Acta Mathematicae Applicatae Sinica
关键词
二阶三点边值问题
半正非线性
解和正解
存在性
多解性
second-order three-point boundary value problem
semipositone nonlinearity
solution and positive solution
existence
multiplicity
