带积分边界条件的四阶常微分方程边值问题  

Boundary Value Problems of Fourth-Order Ordinary Differential Equations with Integral Boundary Conditions

作　　者：谭启军 

机构地区：[1]重庆房地产职业学院,重庆401331

出　　处：《重庆电子工程职业学院学报》2016年第1期141-146,共6页Journal of Chongqing College of Electronic Engineering

摘　　要：本文应用不动点定理研究一类非局部四阶边值问题正解的存在性和非存在性[1].以往大部分文章中的四阶问题边值条件是局部的,本文研究含有一个系数的非局部边值问题正解的存在性和非存在性.The author uses the fixed point theorem to study existence and non-existence of positive solutions for a class of non-local fourth- order boundary value problems. In the past, the fourth order boundary problem value conditions are partial in most of the articles, but this paper contains a coefficient ＇s nonlocal boundary value problem＇s positive solution existence and non-existence.

关 键 词：边值问题 积分边界条件 不动点定理 正解 四阶常微分方程 

分 类 号：O175[理学—数学]