一类二阶四点边值问题解的存在性  

Existence of Solution for a Class of Second Order Four-point Boundary Value Problems

作　　者：敖婧[1] 张然[1] 张凯[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2008年第2期173-178,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:107010391067108210626026)

摘　　要：研究一类二阶常微分方程四点边值问题解的存在性.利用上下解方法、比较原理和Schauder不动点定理证明了相应问题解的存在性,并给出了数值算例.We studied a class of second order ordinary differential equations with four-point boundary value problems which are widely applied to many fields. We obtained the existence property of a solution for this class of problems using the upper and lower solution method, comparison principle and the Schauder fixed point theorem. We also provided a numerical example to illustrate the theory.

关 键 词：非线性二阶常微分方程 四点边值问题 SCHAUDER不动点定理 

分 类 号：O241.81[理学—计算数学]