| 一类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： | 汪一高,鲁世平.一类三阶泛函微分方程周期解的存在唯一性[J].数学研究,2009,42(1). |
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| 作者姓名： | 汪一高 鲁世平 |
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| 作者单位： | 安徽师范大学数学与计算机学院,安徽,芜湖,241000 |
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| 基金项目： | 国家自然科学基金，安徽省自然科学基金，安徽省教育厅重点基金 |
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| 摘 要： | 利用重合度理论研究了一类三阶泛函微分方程x′′′(t)+multiply from i=1 to 2a_ix~((i))+b_ix~((i))(t-τ_i)]+ g_1(x(t))+g_2(x(t-τ))=p(t)的2π-周期解问题,获得了该方程2π-周期解存在唯一性的若干新结论.
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| 关 键 词： | 三阶泛函微分方程 周期解 重合度 |
Existence and Uniqueness of Perodic Solution for a Third Order Functional Differential Equation |
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| Wang Yigao,Lu Shiping.Existence and Uniqueness of Perodic Solution for a Third Order Functional Differential Equation[J].Journal of Mathematical Study,2009,42(1). |
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| Authors: | Wang Yigao Lu Shiping |
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| Institution: | Wang Yigao Lu Shiping (College of Math.and Computer Science; Anhui Normal University; Wuhu Anhui 241000); |
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| Abstract: | In this paper,A type of third order functional differential equation x′′′(t) +■a_ix~((i)) + b_ix~((i))(t-τ_i)]+g_1(x(t))+g_2(x(t-τ)) = p(t) is considered.The sufficient condition for the existance of unique 2π-periodic solution is obtained. |
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| Keywords: | third order functional differential equation periodic solution coincidence degree |
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