000856297 000__ 05367cam\a2200541Ki\4500 000856297 001__ 856297 000856297 005__ 20230306145128.0 000856297 006__ m\\\\\o\\d\\\\\\\\ 000856297 007__ cr\un\nnnunnun 000856297 008__ 180927s2018\\\\sz\\\\\\ob\\\\100\0\eng\d 000856297 019__ $$a1055253814$$a1060595050 000856297 020__ $$a9783319991481$$q(electronic book) 000856297 020__ $$a3319991485$$q(electronic book) 000856297 020__ $$z9783319991474 000856297 020__ $$z3319991477 000856297 0247_ $$a10.1007/978-3-319-99148-1$$2doi 000856297 035__ $$aSP(OCoLC)on1054627386 000856297 035__ $$aSP(OCoLC)1054627386$$z(OCoLC)1055253814$$z(OCoLC)1060595050 000856297 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dN$T$$dEBLCP$$dFIE$$dGW5XE$$dYDX$$dUPM$$dOCLCF$$dUKMGB$$dOCLCQ 000856297 049__ $$aISEA 000856297 050_4 $$aQA371$$b.F67 2018 000856297 08204 $$a515.35$$223 000856297 24500 $$aFormal and Analytic Solutions of Diff. Equations :$$bFASdiff, Alcalá de Henares, Spain, September 2017, Selected, Revised Contributions /$$cGalina Filipuk, Alberto Lastra, Slawomir Michalik, editors. 000856297 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018] 000856297 300__ $$a1 online resource. 000856297 336__ $$atext$$btxt$$2rdacontent 000856297 337__ $$acomputer$$bc$$2rdamedia 000856297 338__ $$aonline resource$$bcr$$2rdacarrier 000856297 347__ $$atext file$$bPDF$$2rda 000856297 4901_ $$aSpringer proceedings in mathematics & statistics ;$$vvolume 256 000856297 504__ $$aIncludes bibliographical references. 000856297 5050_ $$aPreface -- Part I: A.D. Bruno, Elements of nonlinear analysis -- Part II Summability of Divergent solutions of PDEs: K. Ichinobe, On k-summability of formal solutions for a class of higher order partial differential equations with time-dependent coefficients -- J.E. Lope and M- P.F. Ona, Singular solutions to a system of equations related to Ricci-flat Kähler metrics -- S. Michalik and M. Suwinska, Huperasymptotic solutions for certain partial differential equations -- B. Tkacz, The Stokes phenomenon for certain PDEs in a case when initial data have a finite set of singular points -- H. Yamane, Soliton resolution for the focusing integrable discrete nonlinear Schrödinger equation -- A.D. Bruno, Complicated and exotic expansions of solutions to the Painlevé equations -- Part III Summability of Divergent solutions of ODEs: P. Pavis d'Esdurac, The Borel transform values and its singularities -- A. Shafarevich, Quantization conditions on Riemannian surfaces and spectral series of non-selfadjoint operators -- T. Oshima, Semilocal monodromy of rigid local systems -- M. Barkatou, On the Newton polygon of a Moser-irreducible linear differential system -- Part IV Related Topics: G. Lysik, Uniqueness property for $\rho$-Analytic functions -- N. Honda and L. Prelli, On the algebraic study of asymptotics -- D. Guzzetti, Deformations with a resonant irregular singularity -- G. Filipuk and M.N. Rebocho, Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices -- C. Hermoso, E.J. Huertas and A. Lastra, Determinantal for ladder operators in a problema concerning a convex linear combination of discrete and continuous measures. 000856297 506__ $$aAccess limited to authorized users. 000856297 520__ $$aThese proceedings provide methods, techniques, different mathematical tools and recent results in the study of formal and analytic solutions to Diff. (differential, partial differential, difference, q-difference, q-difference-differential ...) Equations. They consist of selected contributions from the conference "Formal and Analytic Solutions of Diff. Equations", held at Alcalá de Henares, Spain during September 4-8, 2017. Their topics include summability and asymptotic study of both ordinary and partial differential equations. The volume is divided into four parts. The first paper is a survey of the elements of nonlinear analysis. It describes the algorithms to obtain asymptotic expansion of solutions of nonlinear algebraic, ordinary differential, partial differential equations, and of systems of such equations. Five works on formal and analytic solutions of PDEs are followed by five papers on the study of solutions of ODEs. The proceedings conclude with five works on related topics, generalizations and applications. All contributions have been peer reviewed by anonymous referees chosen among the experts on the subject. The volume will be of interest to graduate students and researchers in theoretical and applied mathematics, physics and engineering seeking an overview of the recent trends in the theory of formal and analytic solutions of functional (differential, partial differential, difference, q-difference, q-difference-differential) equations in the complex domain. 000856297 588__ $$aOnline resource; title from PDF file page (viewed October 1, 2018). 000856297 650_0 $$aDifferential equations$$vCongresses. 000856297 650_0 $$aDifference equations$$vCongresses. 000856297 7001_ $$aFilipuk, Galina,$$eeditor. 000856297 7001_ $$aLastra, Alberto,$$eeditor. 000856297 7001_ $$aMichalik, Sławomir,$$eeditor. 000856297 7112_ $$aFormal and Analytic Solutions of Diff. Equations (Conference)$$d(2017 :$$cAlcalá de Henares, Spain) 000856297 77608 $$iPrint version: $$z9783319991474 000856297 77608 $$iPrint version: $$z9783319991498 000856297 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 256. 000856297 852__ $$bebk 000856297 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-99148-1$$zOnline Access$$91397441.1 000856297 909CO $$ooai:library.usi.edu:856297$$pGLOBAL_SET 000856297 980__ $$aEBOOK 000856297 980__ $$aBIB 000856297 982__ $$aEbook 000856297 983__ $$aOnline 000856297 994__ $$a92$$bISE