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Non-Existence of Entire Solution of a Type of System of Equations
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In this paper,we will prove that the system of differential-difference equations｛(f(z)f'(z))n+p21(z)gm(z+η)=Q1(z),(g(z)g'(z))n+p22(z)fm(z+η)=Q2(z),has no transcendental entire solution(f(z),g(z))with ρ(f,g)＜∞ such that λ(f)＜ρ(f)andλ(g)＜ρ(g),where P1(z),Q1(z),P2(z)and Q2(z)are non-vanishing polynomials.
transcendental entire functionfinite ordersystem of differential-difference equa-tions
Zhiwei ZHOU、Ying ZHANG、Zhigang HUANG
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School of Mathematics,Suzhou University of Science and Technology,Jiangsu 215009,P.R.China
Information Construction and Management Center,Suzhou University of Science and Technology,Jiangsu 215009,P.R.China
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