| 具多偏差变元四阶Laplace方程的周期解存在性 |
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| 引用本文： | 张志戎,鲁世平.具多偏差变元四阶Laplace方程的周期解存在性[J].大学数学,2009,25(4). |
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| 作者姓名： | 张志戎 鲁世平 |
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| 作者单位： | 1. 铜陵学院,数学与计算机系,安徽,铜陵,244000
2. 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： | 教育部重点基金，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： | 考虑下列具多偏差变元的四阶p-Laplace方程:φp(u″(t))]″+f(u(t))u′(t)+g(t,u(t-τ1(t)),u(t-τ2(t)),…,u(t-τn(t)))=e(t).利用重合度定理得出其周期解的存在性结论.
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| 关 键 词： | 周期解 重合度 偏差变元 Laplace方程 |
Existence of Periodic Solution for a Fourth Order Laplaician Equation with Multiple Deviating Arguments |
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| ZHANG Zhi-rong,LU Shi-ping.Existence of Periodic Solution for a Fourth Order Laplaician Equation with Multiple Deviating Arguments[J].College Mathematics,2009,25(4). |
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| Authors: | ZHANG Zhi-rong LU Shi-ping |
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| Abstract: | We study the existence of periodic solutions for a system involving p-Laplaician type operators with multiple deviating arguments as follows:φp(u″(t))]″+f(u(t))u′(t)+g(t,u(t-τ1(t)),u(t-τ2(t)),…,u(t-τn(t)))=e(t).We prove the existence of at least one periodic solution of the problem applying Mawhin's continuation theorem. |
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| Keywords: | periodic solution continuation theorem deviating argument p-Laplaician |
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