Alient differential calculus and resurgent equations

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©, 1997 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation B Yu Sternin and V E Shatalov 1997 Izv. Math. 61 843 DOI 10.1070/IM1997v061n04ABEH000141

1064-5632/61/4/843

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.

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10.1070/IM1997v061n04ABEH000141