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Existence of entire solutions of some non-linear differential-difference equations
Minfeng Chen1, Zongsheng Gao1, Yunfei Du1
1LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, 100191 P.R. China.
Abstract:
In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] are two non-zero polynomials, [Formula: see text] is a polynomial and [Formula: see text]. In addition, we investigate the non-existence of entire solutions of finite order of the differential-difference equation [Formula: see text], where [Formula: see text], [Formula: see text] are two non-constant polynomials, [Formula: see text], m, n are positive integers and satisfy [Formula: see text] except for [Formula: see text], [Formula: see text].
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