| 具偏差变元的四阶p-Laplacian方程周期解问题 |
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| 引用本文： | 陈业,鲁世平.具偏差变元的四阶p-Laplacian方程周期解问题[J].安徽师范大学学报(自然科学版),2009,32(6):511-517. |
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| 作者姓名： | 陈业 鲁世平 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000;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： | Sponsored by the NSF of Anhui Province of China(2005kj031ZD;050460103); the Teaching and Research Award Program for Excellent Teachers in Higher Education Institutions of Anhui Province of China; the key NSF of Education Ministry of China(No.207047). |
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| 摘 要： | 对一类具偏差变元的四阶p-Laplacian方程(φp(y″(t)))″+f(y″(t))+g(y(t-τ(t)))=e(t)的周期解问题进行了研究.在一定的条件下,利用Mawhin延拓定理得到了周期解的存在性.
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| 关 键 词： | 周期解 p-Laplacian方程 延拓定理 |
Periodic Solutions for a Fourth-Order p-Laplacian Differential Equation With a Deviating Argument |
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| CHEN Ye,LU Shi-ping.Periodic Solutions for a Fourth-Order p-Laplacian Differential Equation With a Deviating Argument[J].Journal of Anhui Normal University(Natural Science Edition),2009,32(6):511-517. |
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| Authors: | CHEN Ye LU Shi-ping |
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| Institution: | CHEN Ye,LU Shi-ping(College of Mathematics , Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this paper, we study the existence of periodic solutions to a fourth-order p-Laplacian differential equation with a deviating argument of the form(φp(y″(t)))″+f(y″(t))+g(y(t-τ(t)))=e(t).Under various assumptions, the existence of periodic solutions are obtained by Mawhin's continuation theorem. |
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| Keywords: | periodic solution p-Laplacian equation continuation theorem |
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