离散周期系统多重正解的存在性  

Existence of Multiplicity of Nonnegative Solutions to Discrete Periodic Systems

作　　者：张丽娟[1] 

机构地区：[1]白城师范学院数学学院,吉林白城137000

出　　处：《吉林大学学报（理学版）》2013年第5期859-862,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10571021)

摘　　要：考虑离散周期系统多重正解的存在性,利用非线性Leray-Schauder抉择定理和Krasnoselskii锥不动点定理,在一定条件下证明了当非线性项奇异时离散周期系统正解的存在性.The author devoted to establish the multiplicity of nonnegative solutions to singular discrete perriodic systems. The existence of the solution was obtained using a nonlinear alternative of Leray- Schauder and the Krasnoselskii fixed point theorem in cones. It was proved that such a problem has a nonnegative solutions under some reasonable conditions and nonlinear singular.

关 键 词：离散周期系统 正解 Krasnoselskii锥不动点定理 存在性 

分 类 号：O175.8[理学—数学]