05215nam 2200649 a 450 991081562880332120200520144314.0981-277-654-0(CKB)1000000000411112(EBL)1681547(OCoLC)855898912(SSID)ssj0000228064(PQKBManifestationID)12067254(PQKBTitleCode)TC0000228064(PQKBWorkID)10148441(PQKB)11256389(MiAaPQ)EBC1681547(WSP)00005107(Au-PeEL)EBL1681547(CaPaEBR)ebr10201149(CaONFJC)MIL505387(EXLCZ)99100000000041111220030623d2002 uy 0engur|n|---|||||txtccrProceedings of the Conference on Differential Equations and the Stokes Phenomenon Groningen, The Netherlands, 28-30 May 2001 /edited by B.L.J. Braaksma ... [et al.]1st ed.River Edge, N.J. World Scientificc20021 online resource (343 p.)Description based upon print version of record.981-238-172-4 Includes bibliographical references.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 filtrations4. 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 C4. 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 lemma4. 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 E5. Transitive Lie Algebras in Few VariablesThis 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 ofDifferential equations and the Stokes phenomenonDifferential equationsCongressesDifferential equations, LinearAsymptotic theoryCongressesDifferential equationsDifferential equations, LinearAsymptotic theory530.15/535Braaksma B. L. J(Boele Lieuwe Jan),1934-58755Conference on Differential Equations and the Stokes PhenomenonMiAaPQMiAaPQMiAaPQBOOK9910815628803321Proceedings of the Conference on Differential Equations and the Stokes Phenomenon4028688UNINA