一类非线性三点边值问题单调递增正解的存在性  

Existence of Monotone Increasing Positive Solution for Nonlinear Three-point Boundary Value Problems

作　　者：梁月亮[1] 续晓欣[1] 

机构地区：[1]中北大学理学院数学系,太原030051

出　　处：《科学技术与工程》2009年第11期2847-2849,2855,共4页Science Technology and Engineering

基　　金：国家自然科学基金(10371066)资助

摘　　要：考察了一类非线性常微分方程的三点边值问题,通过考察非线性项在有界集上的性质。运用Leray-Schauder非线性抉择及格林函数的性质,获得了单调递增正解存在性的新结果。推广改进了以前文献的相关结果。A class of nonlinear three-point boundary value problems is considered, and the existence of monotone increasing positive solution is obtained by making use of the Leray-Schauder nonlinear alternative and the properties of Green function. The known ones are generalized and improved.

关 键 词：三点边值问题 正解 不动点定理 

分 类 号：O175.8[理学—数学]