一类微分方程组正周期解的存在性  

The Existence of Positive Periodic Solution for Nonlinear Ordinary Differential Systems

作　　者：张炎彪[1] 王丽华[2] 

机构地区：[1]忻州师范学院数学系 [2]忻州师范学院附属中学,山西忻州034000

出　　处：《运城学院学报》2011年第2期17-20,共4页Journal of Yuncheng University

摘　　要：根据锥上不动点指数理论,研究了微分方程组正周期解的存在性。应用线性问题的第一特征值和拓扑度理论建立了其正解的存在性定理。By using the fixed-point index theory,we study the problem of nonlinear ordinary differential systems with periodic boundary value.The existence theoem on positive solution is established by using the first eigenvalue of the correspondind linear problems and theorem for product of topology degree.

关 键 词：不动点理论 拓扑度乘积 正解 

分 类 号：O175[理学—数学]