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一类二阶时滞泛函微分方程周期解的存在与唯一性(英文) 被引量：3

Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Functional Differential Equations with a Deviating Argument
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摘要 我们利用Mawhin重合度拓展定理,研究了一类二阶时滞泛函微分方程x″(t)+f(t,x(t),x(t-τ))=p(t)周期解的存在唯一性问题,得到了其周期解存在唯一的新的结果. In this paper, the authors employ the theory of Mawhin＇ s continuation theorem to study the existence and uniqueness of periodic solutions for a kind of second order functional differential equations with a deviating argument： x″（t）＋f（t,x（t）,x（t-τ））=p（t） Some new results on the existence and uniqueness of periodic solutions are obtained.
作者 汪娜 鲁世平 章家顺 沈佐民
机构地区 池州学院数学系 安徽师范大学数学计算机科学学院
出处 《安徽师范大学学报（自然科学版）》 CAS 2008年第5期409-414,共6页 Journal of Anhui Normal University(Natural Science)
基金 Anhui Natural Science Foundation(050460103) NSFof Anhui Educational Bureau(KJ2008B247) RSPYTof Anhui Educational Bureau(2008jq1111).
关键词 周期解 时滞 泛函微分方程 Mawhin拓展定理 periodic solution deviating argument functional differential equations Mawhin＇ s continuation theorem
分类号 O175.6 [理学—基础数学]
  • 相关文献

参考文献9

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二级参考文献12

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共引文献9

同被引文献29

引证文献3

二级引证文献1

安徽师范大学学报（自然科学版）
2008年 第5期

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