一类二阶常微分方程泛函边值问题解的存在性  

Existence of solutions of a functional boundary value problem for second-order ordinary differential equations

作　　者：李晓燕[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《兰州理工大学学报》2014年第4期170-172,共3页Journal of Lanzhou University of Technology

摘　　要：运用Leray-Schauder原理讨论一类二阶非线性常微分方程泛函边值问题解的存在性.其中边值条件是由Stieltjes积分定义的有界线性泛函,更具有一般性.By using Leary-Schauder principle, the value problem for second-order nonlinear ordinary conditions are bounded linear functional defined by existence of solutions of a class of functional boundary differential equations is discussed. And the boundary Stieltjes integrals, which manifest even more generality.

关 键 词：泛函边值问题 存在性 LERAY-SCHAUDER原理 

分 类 号：O175.7[理学—数学]