| 四阶p-Laplacian方程多时滞问题周期解的存在性 |
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| 引用本文： | 刘佳颖,刘丙镯,车晓飞,陈春香,刘文斌.四阶p-Laplacian方程多时滞问题周期解的存在性[J].数学的实践与认识,2013,43(7). |
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| 作者姓名： | 刘佳颖 刘丙镯 车晓飞 陈春香 刘文斌 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221116 |
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| 摘 要： | 通过使用Mawhin连续性定理,研究四阶p-Laplacian微分方程多时滞问题(φ_p(x″(t)))″+f(t,x″(t))+(?)β_i(t)g(x(t-γ_i(t)))=p(t)周期解的存在性,并得到了存在周期解的充分性条件
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| 关 键 词： | p-Laplacian方程 多时滞问题 周期解 Mawhin连续性定理 |
Periodic Solutions For A Fourth-Order P-Laplacian Differential Equation With A Deviating Argument |
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| LIU Jia-ying
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LIU Bing-zhuo
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CHE Xiao-fei
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CHEN Chun-xiang
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LIU Wen-bin.Periodic Solutions For A Fourth-Order P-Laplacian Differential Equation With A Deviating Argument[J].Mathematics in Practice and Theory,2013,43(7). |
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| Authors: | LIU Jia-ying LIU Bing-zhuo CHE Xiao-fei CHEN Chun-xiang LIU Wen-bin |
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| Abstract: | By using the theory of coincidence degree,we study a kind of periodic solutions to a fourth order p-Laplacian differential equation with multiple deviating arguments as follows (?) Under various assumptions,new results on the existence of periodic solutions are obtained. |
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| Keywords: | Periodic solutions Mawhin continuation theory p-Laplacian equation Multiple deviating argument |
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