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一阶常微分方程组周期边值问题的正解
引用本文:崔玉军,邹玉梅,李红玉.一阶常微分方程组周期边值问题的正解[J].应用泛函分析学报,2007,9(1):1-7.
作者姓名:崔玉军  邹玉梅  李红玉
作者单位:1. 山东科技大学信息科学与工程学院,青岛,266510
2. 山东科技大学泰安校区公共课部,泰安,271000
基金项目:The Project Supported by the National Science Foundation of P. R. China (10371066)
摘    要:利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题.在某些条件下,证明了上述周期边值问题正解的存在性.

关 键 词:一阶微分方程组  正解  不动点指数
文章编号:1009-1327(2007)01-0001-07
修稿时间:2005-11-10

Positive Solutions of Periodic Boundary Value Problems for First Order Ordinary Differential Systems
CUI Yu-jun,ZOU Yu-mei,LI Hong-yu.Positive Solutions of Periodic Boundary Value Problems for First Order Ordinary Differential Systems[J].Acta Analysis Functionalis Applicata,2007,9(1):1-7.
Authors:CUI Yu-jun  ZOU Yu-mei  LI Hong-yu
Institution:1. College of Information Science and Engineering, Shandong Univ of Sci-Tech, Qingdao 266510 China 2. Dept of Basic Courses, Taian Campus, Shandong Univ of Sci-Tech, Tail an 271000, China
Abstract:In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems. Some results on the existence of positive solutions are derived.
Keywords:first order differential systems  positive solutions  fixed point index
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