文章基本信息

标题：Entire solutions of certain class of differential-difference equations
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作者：Fengrong Zhang ; Nana Liu ; Weiran Lü 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：150
DOI：10.1186/s13662-015-0488-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：As a continuation of our previous studies Liu et al. (J. Inequal. Appl. 2014:63, 2014), we will discuss the transcendental entire solutions of the following type of differential-difference equation: f 3 ( z ) + P 1 ( z , Δ f , … , f ′ , … , f ( k ) ) = λ 1 e α 1 z + λ 2 e α 2 z $f^"(z)+P_)(z, \Delta f ,\ldots, f',\ldots, f^{(k)} ) =\lambda_)e^{\alpha_) z}+\lambda_,e^{\alpha_, z}$ , where P 1 $P_)$ is a linear polynomial in f , Δ f , … , f ( k ) $f, \Delta f,\ldots, f^{(k)} $ , with polynomials as its coefficients, and λ 1 , λ 2 , α 1 , α 2 ∈ C $\lambda_),\lambda_,,\alpha_),\alpha_,\in\mathbb{C}$ are nonzero constants such that α 1 ≠ α 2 $\alpha_)\neq\alpha_,$ .
关键词：transcendental entire solution ; differential-difference equation ; Nevanlinna theory