Matching of asymptotic expansions of solutions of boundary value problems. Transl. from the Russian by V. Minachin. Transl. edited by S. Ivanov. (English) Zbl 0754.34002

Il’in, A. M.

Translations of Mathematical Monographs 102. Providence, RI: American Mathematical Society (ISBN 0-8218-4561-6/hbk). ix, 281 p. (1992).

The Russian original (Moscow 1989) has been reviewed in Zbl 0671.35002.

MSC:

34-02	Research exposition (monographs, survey articles) pertaining to ordinary differential equations
35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations
34E05	Asymptotic expansions of solutions to ordinary differential equations
35J25	Boundary value problems for second-order elliptic equations
34E15	Singular perturbations for ordinary differential equations
35K55	Nonlinear parabolic equations
35B25	Singular perturbations in context of PDEs
35B30	Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35C20	Asymptotic expansions of solutions to PDEs

Keywords:

asymptotic expansions; singularly perturbated boundary value problems; Cauchy problem; singular perturbations; small parameters; quasilinear; domain of parameter variation

Citations:

Zbl 0671.35002