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

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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).

Original languageEnglish
Pages (from-to)185-197
Number of pages13
JournalFunkcialaj Ekvacioj
Volume59
Issue number2
DOIs
Publication statusPublished - 2016

Keywords

  • Briot-Bouquet type
  • Q-analogue
  • Singular solution

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

Cite this

Holomorphic and singular solutions of q-difference-differential equations of briot-bouquet type. / Yamazawa, Hiroshi.

In: Funkcialaj Ekvacioj, Vol. 59, No. 2, 2016, p. 185-197.

Research output: Contribution to journalArticle

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