| 时滞三阶微分方程周期解存在性的充分条件 |
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| 引用本文： | 汪娜.时滞三阶微分方程周期解存在性的充分条件[J].应用数学,2008,21(4). |
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| 作者姓名： | 汪娜 |
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| 作者单位： | 池州学院数学系,安徽,池州,247000 |
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| 基金项目： | 安徽省自然科学基金
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RSPYT of Anhui Educational Bureau
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| 摘 要： | 我们利用Mawhin重合度拓展定理,研究了一类时滞三阶微分方程解的存在性问题,得到了其存在2π周期解的新的结果.值得关注的是,我们允许滞量r是一个函数,并且所得结论与时滞ι(t)有关.同时给出一个实例来论证我们的结果.
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| 关 键 词： | 周期解 重合度拓展定理 时滞 |
Sufficient Conditions for the Existence of Periodic Solutions to Some Third Order Differential Equations with Deviating Argument |
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| WANG Na.Sufficient Conditions for the Existence of Periodic Solutions to Some Third Order Differential Equations with Deviating Argument[J].Mathematica Applicata,2008,21(4). |
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| Authors: | WANG Na |
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| Abstract: | By means of the abstract continuation theorem, we study some third order functional differential equations with deviating arguments, some new results on the existence of 2π- periodic solutions are obtained. The interest is that we allow the deviating argument ι to be a function, and also the results(Theorem 1.1 and Corollary 1.1)are related to the delay ι(t). Meanwhile, we give an example to demonstrate our result. |
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| Keywords: | Periodic solution Continuation theorem Deviating argument |
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