Positive Solutions of Boundary Value Problem for a Coupled System of Nonlinear Third-order Differential Equations  

作　　者：ZHANG Yu-chuan ZHOU Zong-fu XU Xin 

机构地区：[1]School of Mathematical Sciences, Anhui University, Hefei 230039, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期522-531,共10页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（10801001）; Supported by the Natural Science Foundation of Anhui Province（1208085MA13）

摘　　要：By using cone expansion-compression theorem in this paper, we study boundary value problems for a coupled system of nonlinear third-order differential equation. Some sufficient conditions are obtained which guarantee the boundary value problems for a coupled system of nonlinear third-order differential equation has at least one positive solution. Some examples are given to verify our results.

关 键 词：boundary value problem coupled system positive solution cone expansion-compression theorem 

分 类 号：O175.14[理学—数学] O175.8[理学—基础数学]