Alient differential calculus and resurgent equations

B. Yu. Sternin, V. E. Shatalov

M. V. Lomonosov Moscow State University

Abstract: We describe some methods for studying the Stokes phenomenon for resurgent functions of several variables. These methods are based on the notions of alient derivative and resurgent equations and can be applied to the asymptotic study of solutions to differential equations, Laplace type integrals, and so on.

MSC: 44A05, 44A10

Received: 26.04.1995
Revised: 28.11.1996

DOI: 10.4213/im141

 English version: Izvestiya: Mathematics, 1997, 61:4, 843–875

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