奇异一阶周期系统的多重正解  

Multiplicity of Positive Solutions to Frist Order Singular Periodic Systems

作　　者：张丽娟[1] 胡卫敏[2] 

机构地区：[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

出　　处：《数学的实践与认识》2007年第19期173-177,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(10571021)

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.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-Sehauder, and the second one is found by using a Krasnoselskii fixed point theorem in cones.

关 键 词：奇异 周期问题 正解 Leray—Schauder抉择定理 锥不动点定理 

分 类 号：O175[理学—数学]