| 一类具有偏差变元的三阶泛函微分方程周期解的存在唯一性 |
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| 引用本文： | 沈钦锐,周宗福.一类具有偏差变元的三阶泛函微分方程周期解的存在唯一性[J].重庆工商大学学报(自然科学版),2011,28(6):558-563. |
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| 作者姓名： | 沈钦锐 周宗福 |
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| 作者单位： | 安徽大学数学科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金，安徽省教育厅重点基金，高校博士点专项科研基金 |
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| 摘 要： | 利用重合度理论,研究一类具有偏差变元的三阶时滞泛函微分方程xm(t)+2Σi=1aix(i)+bix(i)(t-τi)]+cx(t)+g1(x(t))+g2(x(t-τ(t)))=e(t)的T-周期解问题,获得了上述方程T-周期解存在和唯一性的若干新结果.
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| 关 键 词： | 三阶时滞泛函微分方程 周期解 重合度 |
Functional Differential Equation with Delays |
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| SHEN Qin-rui,ZHOU Zong-fu.Functional Differential Equation with Delays[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2011,28(6):558-563. |
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| Authors: | SHEN Qin-rui ZHOU Zong-fu |
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| Institution: | (School of Mathematical Science,University of Anhui,Hefei 230039,China) |
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| Abstract: | In this paper, by means of the theory of coincident degree, T-periodic solution of a type of third order functional differential equation with delays x′″（t）＋∑2i=aix（1）＋bix（i）（t-τi）]＋cx（t）＋g1（x（t））＋g2（x（t-τ（t）））=e（t） is studied. Several new results about the existance and uniqueness of T-periodic solution of above equation are obtained. |
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| Keywords: | three order functional differential equation with delays periodic solution coincidence degree |
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