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On the Existence of Nontrivial Periodic Solutions of Differential DifferenceEquations |
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Citation: |
Wang Ke.On the Existence of Nontrivial Periodic Solutions of Differential DifferenceEquations[J].Chinese Annals of Mathematics B,1990,11(4):438~444 |
Page view: 1049
Net amount: 838 |
Authors: |
Wang Ke; |
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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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