考虑如下二阶中立型微分差分方程的边值问题:(t-τ)-x(t-τ)+f(t,x(t),x(t-τ),x(t-2τ))=0x(0)=x(2kτ),(0)=(2kτ)其中k是任意给定的正整数,τ为正实数. 利用含有偏差变元的变分结构及临界点理论,作者给出了判定上述方程存在非平凡周期解的判定准则.%By means of variational structure and critical point theory, we give some criteria for the existence of periodic solutions to a class of second-order neutral differential difference equations as the following type(t-τ)-x(t-τ)+f(t,x(t),x(t-τ),x(t-2τ))=0with the boundary value conditionx(0)=x(2kτ), (0)=(2kτ)where k is a given positive integer and τ is a positive number.
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