Research articles
ScienceAsia 48 (2022):ID 467-473 |doi:
10.2306/scienceasia1513-1874.2022.061
On meromorphic solutions of certain type of nonlinear
differential-difference equations
Yiping Wang, Wenjie Chen, Zhigang Huang*
ABSTRACT: In this article, we analyze the meromorphic solutions of the following two types of nonlinear differentialdifference equation:
f
n
f
0 + p(z)f (z + c) = p1 e
?1z + p2 e
?2z
and
f
n
f
0 + q(z)f (z + c) e
Q(z) = p1 e
?1z + p2 e
?2z
,
where p1
, p2 and ?1
, ?2 are nonzero constants, p(z), Q(z) are non-vanishing polynomials and q(z) is a rational function.
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School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009 China |
* Corresponding author, E-mail: alexehuang@sina.com
Received 24 Nov 2020, Accepted 22 Feb 2022
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