Analytic, Algebraic and Geometric Aspects of Differential Equations: Będlewo, Poland, September 2015

Book Overview

Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainlev? VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.

• Format: Paperback
• Language: English
• ISBN: 3319849999
• ISBN13: 9783319849997
• Release Date: August 2018
• Publisher: Birkhauser
• Length: 471 Pages
• Weight: 1.47 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"