Construction of asymptotic expansions of solutions to functional equations and their systems by the method of Lie series. (Russian) Zbl 0922.34047

Marenich, A. S.

Volkodavov, V. F. (ed.), Boundary value problems and the structure of solutions of differential equations. Interuniversity collection of scientific works. Kujbyshev: Kujbyshevskij Gosudarstvennyj Pedagogicheskij Institut Im. V. V. Kujbysheva, 92-101 (1986).

For the entire collection see [Zbl 0705.00018].

MSC:

34E05	Asymptotic expansions of solutions to ordinary differential equations
34A25	Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34A45	Theoretical approximation of solutions to ordinary differential equations
34K05	General theory of functional-differential equations

Keywords:

asymptotic expansions; functional equations; systems; method of Lie series