V. Gurarii, V. Katsnelson, V. Matsaev, J. Steiner, “The Stokes structure in asymptotic analysis II: from differential equation to Stokes structure”, Mat. Fiz. Anal. Geom., 2002, Volume 9, Number 3,Pages <nobr>326

The Stokes structure in asymptotic analysis II: from differential equation to Stokes structure

V. Gurarii^a, V. Katsnelson^b, V. Matsaev^c, J. Steiner^d

^a School of Mathematical Sciences, Swinburne University of Technology, PO Box 218 Hawthorn VIC 3122 Melbourne, Australia
^b Department of Mathematics, the Weizmann Institute of Szience, Rehovot, 76100, Israel
^c School of Mathematical Sciences, Tel Aviv University, Ramat Aviv Tel Aviv, 69978, Israel
^d Department of Applied Mathematics, JCT-Jerusalem College of Technology, 21 Havaad Haleumi St., POB 16031, Jerusalem, 91160, Israel

Abstract: We present a method of direct derivation of the Stokes structure $\mathfrak{S}$ from a differential equation. We introduce and revise the related important definitions and statements using the Weber's differential equation as an example. Our technique presented in this paper will be extended later to matrix differential equations.

MSC: 34M25, 34M30, 34M37, 34M40

Received: 19.07.2002

Language: English