| 一类二阶时滞泛函微分方程周期解的存在与唯一性 |
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| 引用本文： | 汪娜,鲁世平,章家顺,沈佐民.一类二阶时滞泛函微分方程周期解的存在与唯一性[J].安徽师范大学学报(自然科学版),2008,31(5). |
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| 作者姓名： | 汪娜 鲁世平 章家顺 沈佐民 |
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| 作者单位： | 池州学院,数学系,安徽,池州,247000;安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | 安徽省自然科学基金
，
安徽省教育厅自然科学基金
，
RSPYT of Anhui Educational Bureau
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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.
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| 关 键 词： | 周期解 时滞 泛函微分方程 Mawhin拓展定理 |
Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Functional Differential Equations with a Deviating Argument |
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| WANG Na,LU Shi-ping,ZHANG Jia-shun,SHEN Zuo-min.Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Functional Differential Equations with a Deviating Argument[J].Journal of Anhui Normal University(Natural Science Edition),2008,31(5). |
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| Authors: | WANG Na LU Shi-ping ZHANG Jia-shun SHEN Zuo-min |
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| Abstract: | 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. |
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| Keywords: | periodic solution deviating argument functional differential equations Mawhin's continuation theorem |
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