Malmquist-type theorems on some complex differential-difference equations-Reference-Cited by-同舟云学术

Malmquist-type theorems on some complex differential-difference equations

Published:2022-01-01 Issue:1 Volume:20 Page:809-819
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Xu Hong Yan¹²,Li Hong³,Yu Meiying⁴

Affiliation:

1. College of Arts and Science, Suqian University , Suqian , Jiangsu 223800 , P. R. China

2. School of Mathematics and Computer Science, Shangrao Normal University , Shangrao , Jiangxi 334001 , China

3. School of Mathematics and Computer Science, Gannan Normal University , Ganzhou , Jiangxi 341000 , P. R. China

4. School of Mathematics, Qilu Normal University , Shandong , Jinan 250200 , P. R. China

Abstract

Abstract This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others. Moreover, some examples are provided to demonstrate why some restrictive conditions in some of our theorems cannot be removed.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0475/pdf

Reference28 articles.

1. I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.

2. K. Liu, I. Laine, and L. Z. Yang, Complex Delay-Differential Equations, De Gruyter: Berlin, Boston, 2021.

3. L. Yang, Value Distribution Theory, Springer-Verlag, Berlin, 1993.

4. H. X. Yi and C. C. Yang, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht, 2003; Chinese original: Science Press, Beijing, 1995.

5. J. Malmquist, Sur les fonctions á un nombre fini de branches définies par les équations différentielles du premier ordre, Acta Math. 36 (1913), 297–343.