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非线性二阶周期边值问题的正解(英文)

Positive periodic solutions to nonlinear second order periodic boundary value problems
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摘要 周期边值问题是非线性分析中的一个重要课题,它在许多实际问题中有着广泛的应用.论文应用锥拉伸和锥压缩不动点定理研究非线性二阶周期边值问题正解的多重性.以一类线性问题的格林函数为工具,证明了周期边值问题至少有两个正周期解的结论. Periodic boundary value problem was an important subject in the nonlinear analysis and had extensive applications in some practical problems. In this paper, we investigated the multiplicity of positive solutions to some nonlinear second order periodic boundary value problem by using the fixed point theorem of cone expansion and compression. By the aid of the Green function of a class of linear problem, we obtained some existence results of at least two positive periodic solutions to periodic boundary value problem.
作者 安天庆 王炳艳
机构地区 河海大学理学院
出处 《安徽大学学报（自然科学版）》 CAS 北大核心 2012年第3期8-12,共5页 Journal of Anhui University(Natural Science Edition)
基金 Supported by National Natural Science Foundation of China(10871059)
关键词 周期解 不动点 锥 非线性微分方程 periodic solutions fixed point cone nonlinear differential equation
分类号 O175 [理学—基础数学]
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参考文献13

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二级参考文献12

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安徽大学学报（自然科学版）
2012年 第3期

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