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离散周期系统多重正解的存在性

Existence of Multiplicity of Nonnegative Solutions to Discrete Periodic Systems
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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.
作者 张丽娟
机构地区 白城师范学院数学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 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)
关键词 离散周期系统 正解 Krasnoselskii锥不动点定理 存在性 discrete periodic systems positive solution Krasnoselskii fixed point theorem in cones existence
分类号 O175.8 [理学—基础数学]
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参考文献8

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二级参考文献35

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共引文献47

吉林大学学报（理学版）
2013年 第5期

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