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Differential equations and the stokes phenomenon.
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific,
2002.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 Painlevé 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.