MR
Hiroshi YAMAZAWA
Hiroshi YAMAZAWA
Holomorphic and Singular Solutions of $q$-Difference-Differential Equations of Briot-Bouquet Type
Funkcialaj Ekvacioj. Serio Internacia
59
2016
185--197
http://fe.math.kobe-u.ac.jp/FE/FullPapers/59-2/59_185.pdf
http://www.ams.org/mathscinet-getitem?mr=MR
In 1990, Gérard-Tahara [4] introduced the Briot-Bouquet type partial differential equation $t\partial_t u=F(t,x,u,\partial_x u)$, and they determined the structure of holomorphic and singular solutions provided that the characteristic exponent $\rho(x)$ satisfies $\rho(0)\not\in\{1,2,\ldots\}$. In this paper the author shows existences of holomorphic and singular solutions of the following type of difference-differential equations $tD_q u=F(t,x,u,\partial_x u)$.
$q$-analogue, Singular solution, Briot-Bouquet type.
Primary 30D05; Secondary 34K30.
59-185
2016
Holomorphic and Singular Solutions of $q$-Difference-Differential Equations of Briot-Bouquet Type
Hiroshi YAMAZAWA
Hiroshi YAMAZAWA
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