This article is cited in 2 papers

On the Cauchy problem for differential equations in spaces of resurgent functions

B. Yu. Sternin, V. E. Shatalov


Abstract: A new method is proposed for obtaining asymptotic expansions of the solutions of a wide class of equations, taking subdominant, i.e., exponentially small, terms into account. The method is based on the study of the problem in special spaces of multiple-valued analytic functions.

UDC: 517.948

MSC: Primary 58G15, 58G18, 32S40, 32S65; Secondary 35B40, 35S30, 40J05, 40G10, 41A60

Received: 02.09.1991

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1993, 40:1, 67–94

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