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非齐次边界条件下两点边值问题单调解的存在性
引用本文:戴忠华,刘锡平,王河堂,宗良.非齐次边界条件下两点边值问题单调解的存在性[J].数学的实践与认识,2007,37(20):182-186.
作者姓名:戴忠华  刘锡平  王河堂  宗良
作者单位:上海理工大学,理学院,上海,200093
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.

关 键 词:单调解  非齐次边界条件  锥拉伸与锥压缩  Green函数
修稿时间:2007年4月3日

The Existence of Monotone Solutions of Non-homogenous Two-Point Boundary Value Problem
DAI Zhong-hua,LIU Xi-ping,WANG He-tang,ZONG Liang.The Existence of Monotone Solutions of Non-homogenous Two-Point Boundary Value Problem[J].Mathematics in Practice and Theory,2007,37(20):182-186.
Authors:DAI Zhong-hua  LIU Xi-ping  WANG He-tang  ZONG Liang
Abstract: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.
Keywords:solutions  non-homogenous boundary value  the stretch and compression fixed point theorem of normic form in cone  green function
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