| 一类中立型泛函微分方程的周期解 |
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| 引用本文： | 唐扬斌.一类中立型泛函微分方程的周期解[J].应用数学学报,2000,23(3):321-328. |
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| 作者姓名： | 唐扬斌 |
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| 作者单位： | 国防科技大学系统工程与数学系,长沙,410073 |
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| 摘 要： | 本文考虑一类中立型微分差分方程ｘ′（ｔ）＋Ｃｘ′（ｔ－ｒ）＝Ａ（ｔ，ｘ）ｘ（ｔ）＋ｆ（ｔ，ｘ（ｔ－ｒ）），利用矩阵测度结合不动点定理的方法，得到其周期解存在的充分条件，所得定理改进或推广了「１－３」中的有关结果。
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| 关 键 词： | 周期解 中立型泛函微分方程 微分差分方程 |
PERIODIC SOLUTIONS OF A CLASS OF NEUTRAL TYPE FUNCTIONAL DIFERENTIAL EQUATION |
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| TANG YANGBIN.PERIODIC SOLUTIONS OF A CLASS OF NEUTRAL TYPE FUNCTIONAL DIFERENTIAL EQUATION[J].Acta Mathematicae Applicatae Sinica,2000,23(3):321-328. |
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| Authors: | TANG YANGBIN |
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| Abstract: | In this paper, we consider a class of neutral type differential diference equation x'(t) Cx'(t- T) = A (t, x)x(t) f(t, x(t- r)). By using the method of matrix measure and fined point thereom, we obtian the sufficient condition of the existence of its periodic solution. Our results has improve or expand the results in 1-3]. |
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| Keywords: | Neutral type periodic solution fixed point theorem |
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