三阶边值问题耦合系统的正解(英文)  

Positive Solutions of Boundary Value Problems for Systems of Nonlinear third-order Differential Equations

作　　者：张豫川[1] 周宗福[1] 徐鑫[1] 

机构地区：[1]安徽大学(新区)数学科学院,安徽合肥230601

出　　处：《生物数学学报》2012年第4期607-613,共7页Journal of Biomathematics

基　　金：Supported by NNSF(10971229,11071001)of China;The 211 Project of Anhui University(02303129,KJTD002B);Anhui Provincial Natural Science Foundation(1208085MA13)

摘　　要：运用锥拉压定理,研究了三阶非线性边值问题耦合系统.一些确保该三阶边值问题耦合系统至少有一个正解的充分条件被得到,并给出一些例子来验证我们的结论.By using cone expansion-compression theorem in this paper,we study boundary value problems for systems of nonlinear third-order differential equation.Some sufficient conditions are obtained which guarantee the boundary value problems for systems of nonlinear third-order differential equation have at least one positive solu- tion.Some examples are given to verify our results.

关 键 词：边值问题 正解 锥 锥拉压定理 

分 类 号：O175.8[理学—数学]