In this paper, we focus on the admissible transcendental meromorphic solutions of the following delay Schwarzian differential equations with rational coefficients $$f(z+1)-f(z-1)+a(z)S(f,z)=\frac{P(z, f(z))}{Q(z, f(z))}.$$ We obtain the necessary conditions on the degree of $R(z,f)$ for these delay differential equations and give a classification of the delay Schwarzian differential equations according to the multiplicities of the root of $Q(z, f)$ on $f$. Finally, we provide some examples to illustrate that all cases occur.
Xiaotang NIE
,
Jiaxing HUANG
,
Yuefei WANG
,
Chengfa WU
. MEROMORPHIC SOLUTIONS OF DELAY SCHWARZIAN DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2025
, 45(4)
: 1514
-1528
.
DOI: 10.1007/s10473-025-0415-0
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