三阶奇异周期微分方程系统边值问题正解的存在性  

Existence of Positive Solutions of a Third-Order Singular Periodic Boundary Value Problem for Differential Equations

作　　者：冯杏芳[1] 封汉颍[1] 杜亚涛[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《军械工程学院学报》2016年第1期74-78,共5页Journal of Ordnance Engineering College

基　　金：河北省自然科学基金资助项目(A2014506016)

摘　　要：研究了一类三阶奇异周期微分方程系统边值问题正解的存在性,根据其Green函数的性质,利用锥上的不动点指数定理,给出了λ在特定范围内正解存在的充分条件.In this paper, we consider the existence of positiove solutions of a singular periodic boundary value problem with two third-order differential equations. By using the property of Green function and the fixed point index theorems on cone, we establish sufficient conditions for the existence of positiove solutions, when the eigenvalue λ lies in certain range.

关 键 词：周期边值问题 不动点指数 正解 存在性 

分 类 号：O175.14[理学—数学]