| ON THE EXISTENCE OF NONTRIVIAL PERIODIC SOLUTIONS OF DIFFERENTIAL DIFFERENCE EQUATIONS |
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| 作者姓名： | Wang Ke |
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| 作者单位： | Department of |
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| 基金项目： | Sapported by the National Science Foundation of China. |
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| 摘 要： | This paper cosiders the existence of nontrivial periodic solutions of the differentialdifference equationsx′(t)=-f(x(t-1)),x′(t)=-(f(x(t-1)+f(x(t-2))),and(x′(t)=f(x(t),y(t),x(t-1),y(t-1)),y′(t)=g(x(t),y(t),x(t-1),y(t-1)).)Some new existence criteria are obtained.
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| 收稿时间： | 1987/11/3 0:00:00 |
On the Existence of Nontrivial Periodic Solutions of Differential Difference
Equations |
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| Wang Ke.ON THE EXISTENCE OF NONTRIVIAL PERIODIC SOLUTIONS OF DIFFERENTIAL DIFFERENCE EQUATIONS[J].Chinese Annals of Mathematics,Series B,1990,11(4):438-444. |
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| Authors: | Wang Ke |
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| Institution: | Department of Mathematics,Northeast Normal University,Changchun,Jilin,China. |
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| Abstract: | This paper cosiders the existence of nontrivial periodic solutions of the differential difference equations
$x'(t)=-f(x(t-1)),
x'(t)=-(f(x(t-1)+f(x(t-2))),$
and
$x'(t)=f(x(t),y(t),x(t-1),y(t-1),
y'(t)=g(x(t),y(t),x(t-1),y(t-1).$
Some new existence criteria are obtained. |
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| Keywords: | |
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