Study on the existence of solutions to two specific types of differential-difference equations

Authors

QIONG WANG
QIONGYAN WANG

Abstract

This paper concerns the description of the entire or meromorphic solutions to two certain types of differential-difference equations under some certain conditions. The significance of our results lies in that we find the entire solutions of the second type equation with the form $f=Ae^{Bz}$, where $A,B$ are constants that are completely determined only by coefficients and correlated indices. Our results are accurate in a certain sense and are supplemented by an example. In particular, our results generalize and improve a result of Zhang and Huang, and they are closely related to recent results by Dong and Liao.

DOI

10.3906/mat-1811-48

Keywords

Differential-difference equations, hyperorder, meromorphic solutions, Nevanlinna theory

First Page

941

Last Page

954

Recommended Citation

WANG, QIONG and WANG, QIONGYAN (2019) "Study on the existence of solutions to two specific types of differential-difference equations," Turkish Journal of Mathematics: Vol. 43: No. 2, Article 26. https://doi.org/10.3906/mat-1811-48
Available at: https://journals.tubitak.gov.tr/math/vol43/iss2/26