Formal and Analytic Solutions of Diff. Equations FASdiff, Alcalá de Henares, Spain, September 2017, Selected, Revised Contributions /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Filipuk, Galina (Editor, http://id.loc.gov/vocabulary/relators/edt), Lastra, Alberto (Editor, http://id.loc.gov/vocabulary/relators/edt), Michalik, Sławomir (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Proceedings in Mathematics & Statistics, 256
• Subjects: Partial differential equations.; Difference equations.; Functional equations.; Partial Differential Equations.; Difference and Functional Equations.

These 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...

Table of Contents:

• Preface
• 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.