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无穷区间上二阶奇异微分系统非负边值问题的正解

A Positive Solution to the Nonnegative Boundary Value Problem of the Second-order Singular Differential System on the Infinite Interval
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摘要 通过构造特殊的锥,应用锥拉伸和锥压缩不动点理论,研究了无穷区间上的二阶非线性奇异微分系统,得到边值条件为非负常数时正解的存在性定理. By constructing a special cone and using the fixed point theory of cone expansion and compression, this paper deals with the second-order nonlinear singular differential system on the infinite interval. The existence theorem of positive solution with boundary value condition being nonnegative constant is proved.
作者 唐秋云 王明高
机构地区 山东万杰医学院公共教学部 山东万杰医学院图书馆
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第4期533-539,共7页 Journal of Sichuan Normal University（Natural Science）
基金 山东省自然科学基金(ZR2013AM005)资助项目
关键词 微分方程组 锥 无穷区间 differential system cone infinite interval
分类号 O175.8 [理学—基础数学]
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参考文献16

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二级参考文献19

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共引文献16

四川师范大学学报（自然科学版）
2014年 第4期

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