Proceedings of the Conference on Differential Equations and the Stokes Phenomenon: Groningen, the Netherlands, 28-30 May 2001
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Körperschaft: Conference on Differential Equations and the Stokes Phenomenon <2001, Groningen, Netherlands> (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: River Edge, N.J. World Scientific c2002
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Beschreibung:Includes bibliographical references
Toward p-adic Stokes phenomena? Singularities of p-adic differential equations / Yves André -- Moduli spaces for linear differential equations / Maint Berkenbosch -- Factorization of differential operators and application to differential Galois theory / Magali Bouffet -- Movable singularities of solutions of nonlinear differential and difference equations and the Painlevé property / Ovidiu Costin and Martin Kruskal -- On a conjecture of Sophus Lie / Jan Draisma -- A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. / Jean Ecalle -- A differential intermediate value theorem / Joris van der Hoeven -- Intcgrable systems and number theory / Peter H. van der Kamp, Jan A. Sanders and Jaap Top -- Towards the Galois groupoid of nonlinear O.D.E. / Frank Loray -- Galois theory of q-difference equations: the "analytical" approach / Jacques Sauloy -- "Exact WKB integration" of the polynomial 1D Schrödinger (or Sturm-Liouville) problem / André Voros -- Une sommation discrète pour des équations aux (q-différences linéaires et à coefficients analytiques: théorie générate et exemples / Changgui Zhang
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 The Stokes Phenomenon and Hilbert's 16th Problem (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 differential, difference and q-difference equations. Apart from the asymptotics of solutions, Painlevé properties and the algebraic theory, new topics addressed in the second book include arithmetic theory of linear equations, and Galois theory and Lie symmetries of nonlinear differential equations
Beschreibung:1 Online-Ressource (xii, 329 p.)
ISBN:9789812381729
9789812776549
9812381724
9812776540

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