非齐次边界条件下两点边值问题单调解的存在性  

The Existence of Monotone Solutions of Non-homogenous Two-Point Boundary Value Problem

作　　者：戴忠华[1] 刘锡平[1] 王河堂[1] 宗良[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《数学的实践与认识》2007年第20期182-186,共5页Mathematics in Practice and Theory

基　　金：上海市教育委员会自然科学基金资助项目(05EZ52)

摘　　要：研究了一类二阶非线性微分方程在非齐次边界条件下的两点边值问题单调解的存在性.运用锥拉伸与锥压缩不动点定理,分别得到了边值问题单调递增正解和单调递减负解存在的充分条件.The existence of monotone solutions to a type of nonlinear second-order two-point boundary value problem is studied, By use of the stretch and compression fixed point theorem of normic form in cone, the sufficient conditions for the existence of monotone increasing positive solutions and monotone decreasing negative solutions are obtained to the boundary value problems.

关 键 词：单调解 非齐次边界条件 锥拉伸与锥压缩 GREEN函数 

分 类 号：O175[理学—数学]