Entire solutions of nonlinear differential-difference equations

In this paper, we describe the properties of entire solutions of a nonlinear differential-difference equation and a Fermat type equation, and improve several previous theorems greatly. In addition, we also deduce a uniqueness result for an entire function f(z) that shares a set with its shift [Formu...

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Detalles Bibliográficos
Autores principales: Li, Cuiping, Lü, Feng, Xu, Junfeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4864748/
https://www.ncbi.nlm.nih.gov/pubmed/27247905
http://dx.doi.org/10.1186/s40064-016-2255-9
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author Li, Cuiping
Lü, Feng
Xu, Junfeng
author_facet Li, Cuiping
Lü, Feng
Xu, Junfeng
author_sort Li, Cuiping
collection PubMed
description In this paper, we describe the properties of entire solutions of a nonlinear differential-difference equation and a Fermat type equation, and improve several previous theorems greatly. In addition, we also deduce a uniqueness result for an entire function f(z) that shares a set with its shift [Formula: see text] , which is a generalization of a result of Liu.
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spelling pubmed-48647482016-05-31 Entire solutions of nonlinear differential-difference equations Li, Cuiping Lü, Feng Xu, Junfeng Springerplus Research In this paper, we describe the properties of entire solutions of a nonlinear differential-difference equation and a Fermat type equation, and improve several previous theorems greatly. In addition, we also deduce a uniqueness result for an entire function f(z) that shares a set with its shift [Formula: see text] , which is a generalization of a result of Liu. Springer International Publishing 2016-05-12 /pmc/articles/PMC4864748/ /pubmed/27247905 http://dx.doi.org/10.1186/s40064-016-2255-9 Text en © The Author(s). 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Cuiping
Lü, Feng
Xu, Junfeng
Entire solutions of nonlinear differential-difference equations
title Entire solutions of nonlinear differential-difference equations
title_full Entire solutions of nonlinear differential-difference equations
title_fullStr Entire solutions of nonlinear differential-difference equations
title_full_unstemmed Entire solutions of nonlinear differential-difference equations
title_short Entire solutions of nonlinear differential-difference equations
title_sort entire solutions of nonlinear differential-difference equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4864748/
https://www.ncbi.nlm.nih.gov/pubmed/27247905
http://dx.doi.org/10.1186/s40064-016-2255-9
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AT lufeng entiresolutionsofnonlineardifferentialdifferenceequations
AT xujunfeng entiresolutionsofnonlineardifferentialdifferenceequations

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