Volume no :57, Issue no: 1, May (2019)

MEROMORPHIC SOLUTIONS OF NON-LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS

Author's: Guozhen Ren and Lingyun Gao
Pages: [1] - [14]
Received Date: March 11, 2019; Revised May 8, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122048

Abstract

Using Nevanlinna theory of the value distribution of meromorphic functions and complex differential equations theory, we investigate the properties of one type of non-linear differential-difference equation with rational solution and the existence of transcendental meromorphic solutions of another type of equation, and obtain some results.

Keywords

differential-difference equation, rational solution, meromorphic functions.