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ON THE EXISTENCE OF NONTRIVIAL PERIODIC SOLUTIONS OF DIFFERENTIAL DIFFERENCE EQUATIONS 被引量:3

ON THE EXISTENCE OF NONTRIVIAL PERIODIC SOLUTIONS OF DIFFERENTIAL DIFFERENCE EQUATIONS
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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. 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 [GRAPHICS] Some new existence criteria are obtained.
作者 王克
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1990年第4期438-444,共7页 数学年刊(B辑英文版)
基金 Sapported by the National Science Foundation of China.
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