1.

Record Nr.

UNINA9910785091803321

Titolo

Proceedings of the Conference on Differential Equations and the Stokes Phenomenon [[electronic resource] ] : Groningen, The Netherlands, 28-30 May 2001 / / edited by B.L.J. Braaksma ... [et al.]

Pubbl/distr/stampa

River Edge, N.J., : World Scientific, c2002

ISBN

981-277-654-0

Descrizione fisica

1 online resource (343 p.)

Altri autori (Persone)

BraaksmaB. L. J <1934-> (Boele Lieuwe Jan)

Disciplina

530.15/535

Soggetti

Differential equations

Differential equations, Linear - Asymptotic theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents               ; Preface              ; Addresses of contributors                                ; Toward p-adic Stokes phenomena? Singularities of p-adic differential equations                                                                                     ; 1. p-adic differential equations. Why?                                             ; 2. Singularities of p-adic differential equations                                                        ; 3. Slope filtrations

4. Relations between examples 3.2 and 3.4                                                5. A 'p-adic real blow-up' and the question of Stokes phenomena                                                                      ; Bibliography ; Moduli spaces for linear differential equations                                                      ; 1. Introduction                      ; 2. Definition of the moduli space                                        ; 3. The moduli space is of finite type over C

4. Closed subspaces of moduli spaces                                           5. The Singer condition                              ; Bibliography                   ; Factorization of differential operators and application to differential Galois theory                                                                                            ; 1. Introduction                      ; 2. Solving differential equations in a valued field                                                          ; 3. Differential Hensel lemma

4. Factorization of differential operators                                                 5. Application                     ; Bibliography                   ; Movable singularities of solutions of nonlinear differential and difference equations and the PainleveĢ property; 1. Introduction                      ; 2.



Nonlinear Stokes phenomena. Movable singularities                                                           ; 3. Difference equations: the isolated movable singularity property (IMSP)

4. Classification of some difference equations with IMSP Solvability                                                                           Bibliography                   ; On a conjecture of Sophus Lie                                    ; 1. Lie's Conjecture                          ; 2. A Realization Formula                               ; 3. Realizations with Polynomial Coefficients                                                   ; 4. Realizations with Coefficients in E

5. Transitive Lie Algebras in Few Variables

Sommario/riassunto

This volume is the record of a workshop on differential equations and the Stokes phenomenon, held in May 2001 at the University of Groningen. It contains expanded versions of most of the lectures given at the workshop. To a large extent, both the workshop and the book may be regarded as a sequel to a conference held in Groningen in 1995 which resulted in the book <i>The Stokes Phenomenon and Hilbert's 16th Problem</i> (B L J Braaksma, G K Immink and M van der Put, editors), also published by World Scientific (1996).  Both books offer a snapshot concerning the state of the art in the areas of