2 papers
math.CA2025
On entire solutions of two kinds of quadratic trinomial Fermat type functional equations
Xuxu Xiang, Jianren Long
The existence of entire solutions to quadratic trinomial Fermat type differential-difference equations and \(q\)-difference differential equations involving second-order derivative…
math.CV2025
On a question of Gundersen-Yang concerning entire solutions of binomial differential equations
Jianren Long, Mengting Xia, Xuxu Xiang
We study the question posed by G. Gundersen and C. C. Yang, in which the following two types of binomial differential equations are investigated, $$ a(z)f'f''-b(z)(f)^{2}=c(z)e^{2d…