Alient differential calculus and resurgent equations

B. Yu. Sternin ; V. E. Shatalov

Izvestiya. Mathematics , Tome 61 (1997) no. 4, pp. 843-875.

Résumé

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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