The existence of solutions to certain type of nonlinear difference-differential equations-Reference-Cited by-同舟云学术

The existence of solutions to certain type of nonlinear difference-differential equations

Published:2018-01-01 Issue:1 Volume:16 Page:806-815
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Lü Weiran¹,Wu Linlin¹,Wang Dandan¹,Yang Chungchun²

Affiliation:

1. College of Science , China University of Petroleum , Qingdao , Shandong, 266580 , China

2. Department of Mathematics , Nanjing University , Nanjing , Jiangsu, 210093 , China

Abstract

Abstract In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al. In addition, our results improve and complement earlier ones due to Yang-Laine, Latreuch, Liu-Lü et al. and references therein.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2018-0071/pdf

Reference23 articles.

1. Bergweiler W., Langley J. K., Zeros of differences of meromorphic functions, Math Proc Camb Phil Soc., 2007, 142, 133–147

2. Chen Z.X., Complex Differences and Difference Equations, Beijing: Science Press, 2014

3. Chen Z. X., Yang C. C., On entire solutions of certain type of differential-difference equations, Taiwanese J. Math., 2014, 18, 677–685

4. Chiang Y. M., Feng S. J., On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane, Ramanujan J., 2008, 16, 105–129

5. Laine I., Yang C.C., Clunie theorems for difference and q–difference polynomials, J. London Math. Soc., 2007, 76, 556–566

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