| 一类具偏差变元三阶微分方程周期解存在的充分条件 |
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| 引用本文： | 郑冬梅.一类具偏差变元三阶微分方程周期解存在的充分条件[J].安徽师范大学学报(自然科学版),2009,32(3):212-216. |
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| 作者姓名： | 郑冬梅 |
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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 |
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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： | 本文利用Mawhin's拓展定理,研究具偏差变元三阶微分方程x′′′(t)+f(x(t),x′(t)x″(t)+g(t,x(t),x(t-r(t)))=P(t),得到其周期解存在的充分条件.
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| 关 键 词： | 周期解 Mawhin’s拓展定理 偏差变元 |
Sufficient Conditions on Existence of Periodic Solutions for a Kind of Third Order Differential Equation With a Deviating Argument |
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| ZHENG Dong-mei.Sufficient Conditions on Existence of Periodic Solutions for a Kind of Third Order Differential Equation With a Deviating Argument[J].Journal of Anhui Normal University(Natural Science Edition),2009,32(3):212-216. |
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| Authors: | ZHENG Dong-mei |
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| Institution: | ZHENG Dong-mei (College of Mathematics , Computer Sceince,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | By means of Mawhin's continuation theorem, we study some third-order differential equations with deviating argument: x′′′(t)+f(x(t),x′(t))x″(t)+g(t,x(t),x(t-τ(t))=P(t), and sufficient conditions on existence of periodic solutions are obtained. |
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| Keywords: | periodic solutions Mawhin's continuation theorem deviating argument |
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