本文运用Nevanlinna值分布理论及差分类的对数导数引理,给出了微分-差分方程存在有限级整函数解和亚纯函数解的一个必要条件.同时还给出了微分一差分方程的Clunie引理,Mohon’ko—Mohon’ko引理等.
In this paper,we give some necessary conditions on the existence of entire and meromorphic solutions of finite order of differential-difference equations by using the Nevanlinna's valve distribution theory and difference counterpart of the lemma on logarithmic derivative. We also give Clunie lemma, Mohon'ko-Mohon'ko lemma of the differential-difference equations.