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  • 标题:Entire solutions of certain class of differential-difference equations
  • 本地全文:下载
  • 作者:Fengrong Zhang ; Nana Liu ; Weiran Lü
  • 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
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