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奇异一阶周期系统的多重正解
引用本文:张丽娟,胡卫敏.奇异一阶周期系统的多重正解[J].数学的实践与认识,2007,37(19):173-177.
作者姓名:张丽娟  胡卫敏
作者单位:1. 白城师范学院,数学系,吉林,白城,137000
2. 伊犁师范学院,数学系,新疆,伊宁,835000
摘    要:主要建立了奇异一阶周期系统的多重正解,证明了在适当的条件下这个问题至少存在两个解.第一个正解的存在性是利用非线性L eray-Schauder抉择定理得到的,第二个解是利用K rasnoselsk ii锥不动点定理得到的.

关 键 词:奇异  周期问题  正解  Leray-Schauder抉择定理  锥不动点定理
修稿时间:2007年4月3日

Multiplicity of Positive Solutions to Frist Order Singular Periodic Systems
ZHANG Li-juan,HU Wei-min.Multiplicity of Positive Solutions to Frist Order Singular Periodic Systems[J].Mathematics in Practice and Theory,2007,37(19):173-177.
Authors:ZHANG Li-juan  HU Wei-min
Abstract:This paper is devoted to establish the multiplicity of positive solutions to first order singular periodic systems.It is proved that such a problem has at least two positive solutions under our reasonable conditions.The existence of the first solution is obtained by using a nonlinear alternative of Leray-Schauder,and the second one is found by using a Krasnoselskii fixed point theorem in cones.
Keywords:singular  periodic problem  positive solution  Leray-Schauder alternative  fixed point theorem in cones
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