Holomorphic and singular solutions of q-difference-differential equations of briot-bouquet type

Hiroshi Yamazawa

doi:10.1619/fesi.59.185

Holomorphic and singular solutions of q-difference-differential equations of briot-bouquet type

Hiroshi Yamazawa

デザイン工学科

研究成果: Article › 査読

7 被引用数 (Scopus)

抄録

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 p(x) satisfies p(0) ∉ {1,2,…}. In this paper the author shows existences of holomorphic and singular solutions of the following type of difference-differential equations tD_qu = F(t, x, u, ∂_xu).

本文言語	English
ページ（範囲）	185-197
ページ数	13
ジャーナル	Funkcialaj Ekvacioj
巻	59
号	2
DOI	https://doi.org/10.1619/fesi.59.185
出版ステータス	Published - 2016

ASJC Scopus subject areas

分析
代数と数論
幾何学とトポロジー

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10.1619/fesi.59.185

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abstract = "In 1990, G{\'e}rard-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 p(x) satisfies p(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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AB - 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 p(x) satisfies p(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).

KW - Briot-Bouquet type

KW - Q-analogue

KW - Singular solution

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JO - Funkcialaj Ekvacioj

JF - Funkcialaj Ekvacioj

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Holomorphic and singular solutions of q-difference-differential equations of briot-bouquet type

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