Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Holomorphic and Singular Solutions of q-Difference-Differential Equations of Briot-Bouquet Type
Hiroshi Yamazawa
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2016 年 59 巻 2 号 p. 185-197

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In 1990, Gérard-Tahara [4] introduced the Briot-Bouquet type partial differential equation t∂tu = F(t,x,u,∂xu), and they determined the structure of holomorphic and singular solutions provided that the characteristic exponent ρ(x) satisfies ρ(0) ∉ {1,2,...}. In this paper the author shows existences of holomorphic and singular solutions of the following type of difference-differential equations tDqu = F(t,x,u,∂xu).
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© 2016 by the Division of Functional Equations, The Mathematical Society of Japan
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