WorldCat Identities

Gérard, R. (Raymond) 1932-

Overview
Works: 26 works in 128 publications in 3 languages and 1,179 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Compiler, Contributor, Other
Classifications: QA3, 515.353
Publication Timeline
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Most widely held works by R Gérard
Equations différentielles et systèmes de Pfaff dans le champ complexe by R Gérard( Book )

33 editions published between 1979 and 1983 in 4 languages and held by 376 WorldCat member libraries worldwide

Singular nonlinear partial differential equations by R Gérard( Book )

15 editions published between 1990 and 2012 in English and Undetermined and held by 142 WorldCat member libraries worldwide

The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. In the first chapter, we introduce operators with regular singularities in the one variable case and we give a new simple proof of the classical Maillet's theorem for algebraic differential equations. In chapter 2, we extend this theory to operators in several variables. The chapter 3 is devoted to the study of formal and convergent power series solutions of a class of singular partial differential equations having a linear part, using the method of iteration and also Newton's method. As an appli cation of the former results, we look in chapter 4 at the local theory of differential equations of the form xy' = 1(x, y) and, in particular, we show how easy it is to find the classical results on such an equation when 1(0,0) = 0 and give also the study of such an equation when 1(0,0) #- 0 which was never given before and can be extended to equations of the form Ty = F(x, y) where T is an arbitrary vector field
Théorie de Fuchs sur une varieté analytique complexe by R Gérard( Book )

11 editions published between 1968 and 1969 in French and Undetermined and held by 34 WorldCat member libraries worldwide

Œuvres de Paul Painlevé by Paul Painlevé( Book )

7 editions published between 1972 and 1975 in French and held by 30 WorldCat member libraries worldwide

Oeuvres de Paul Painlevé. [Leçons sur la théorie analytique des équations différentielles] : [professées à Stockholm] by Paul Painlevé( Book )

6 editions published between 1972 and 1973 in French and held by 20 WorldCat member libraries worldwide

Journées complexes de Metz, février 1972 : [équations différentielles et fonctions de plusieurs variables( Book )

2 editions published in 1973 in French and held by 17 WorldCat member libraries worldwide

Œuvres de Paul Painlevé by Paul Painlevé( Book )

2 editions published in 1974 in French and held by 16 WorldCat member libraries worldwide

Analyse et équations différentielles du premier ordre : <travaux classés dans l'ordre chronologique> 1886 - 1902 by Paul Painlevé( Book )

2 editions published in 1974 in French and held by 9 WorldCat member libraries worldwide

Solutions holomorphes et singulières d'équations aux dérivées partielles singulières non linéaires by R Gérard( Book )

1 edition published in 1991 in French and held by 7 WorldCat member libraries worldwide

Opérateurs non linéaires à singularité régulière, cas d'une variable by R Gérard( Book )

1 edition published in 1989 in French and held by 6 WorldCat member libraries worldwide

Holomorphic and singular solutions of nonlinear singular first order partial differential equations by R Gérard( Book )

2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide

Convergent factorial series solutions of singular operator equations by R Gérard( Book )

2 editions published in 1988 in English and held by 6 WorldCat member libraries worldwide

Etude de certains systemes de Pfaff avec singularites by R Gérard( Book )

4 editions published in 1978 in French and held by 6 WorldCat member libraries worldwide

Maillet's type theorems for non linear singular partial differential equations without linear part by R Gérard( Book )

2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide

Formal reduction of integrable linear connexion having a certain kind of irregular singularities by H Charrier( Book )

4 editions published in 1980 in English and Undetermined and held by 6 WorldCat member libraries worldwide

Convergence des solutions formelles de certains systèmes de Pfaff au voisinage d'une singularité by R Gérard( Book )

2 editions published in 1979 in French and held by 5 WorldCat member libraries worldwide

Asymptotic implicit function theorems by R Gérard( Book )

in French and English and held by 4 WorldCat member libraries worldwide

Asymptotic implicit function theorems by R Gérard( Book )

1 edition published in 1991 in English and held by 4 WorldCat member libraries worldwide

Formal and convergent solutions of singular partial differential equations by Gunter Bengel( Book )

1 edition published in 1982 in English and held by 4 WorldCat member libraries worldwide

Résidu d'une connection holomorphe by Raymond Gérard( Book )

1 edition published in 1982 in French and held by 3 WorldCat member libraries worldwide

 
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Audience level: 0.77 (from 0.71 for Equations ... to 0.91 for Oeuvres de ...)

Equations différentielles et systèmes de Pfaff dans le champ complexe
Alternative Names
Gérard, R.

Gerard, Raymond

Gérard, Raymond 1932-

Languages
French (61)

English (33)

German (2)

Covers