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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 1988 Volume 43, Issue 3(261), Pages 3–53 (Mi rm1889)

This article is cited in 8 papers

Asymptotic integration of singularly perturbed problems

S. A. Lomov, A. G. Eliseev


Abstract: In this paper there is review of modern theory of singular perturbation and account the principles of total asymptotic theory of the problems concerning singularities. Corresponding method is based on specify conception of asimptotic power series, on spectral operator's theory and exact description singularity depen­dence solutions of differential equation from perturbations.
135 refs.

UDC: 517.91/93

MSC: 34E15, 45M05, 47A11

Received: 20.10.1986


 English version:
Russian Mathematical Surveys, 1988, 43:3, 1–63

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