On the Existence of Nontrivial Periodic Solutions of Differential DifferenceEquations

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Wang Ke.On the Existence of Nontrivial Periodic Solutions of Differential DifferenceEquations[J].Chinese Annals of Mathematics B,1990,11(4):438~444
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Authors:

Wang Ke;
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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