一类二阶微分方程组边值问题的正周期解  

Positive periodic solutions for a kind of second-order differential equations

作　　者：谢志伟[1] 

机构地区：[1]成都理工大学管理科学学院,四川成都610051

出　　处：《重庆文理学院学报（社会科学版）》2014年第5期20-22,共3页Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)

摘　　要：考察二阶非线性常系数微分方程组的正周期解,应用锥理论不动点理论证明了在一定条件下,问题有一个正解和两个正解的存在性.In this paper,we study the positive periodic solutions to the following second-order differential system periodic boundary value problem,by using the fixed-point index theorem,it was obtained that this problem has at lest one positive periodic solution and two positive periodic solutions at a certain condition.

关 键 词：正周期解 锥 不动点指数 

分 类 号：O175[理学—数学]