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Fundamentalnaya i Prikladnaya Matematika, 1998, Volume 4, Issue 3, Pages 799–851
(Mi fpm344)
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This article is cited in 94 scientific papers (total in 94 papers)
Research Papers Dedicated to the Memory of A. N. Tikhonov
Contrast structures in singularly perturbed problems
A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov M. V. Lomonosov Moscow State University
Abstract:
Some new results in singular perturbation theory — namely the basic positions of contrast structures theory — are presented. The algorithm of asymptotic expansion, the existence and stability theorems for different contrast structures in ordinary nonlinear differential equations and also in partial differential equations are formulated. The new asymptotic differential inequalities method for proving of these theorems is proposed.
Received: 01.05.1997
Citation:
A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov, “Contrast structures in singularly perturbed problems”, Fundam. Prikl. Mat., 4:3 (1998), 799–851
Linking options:
https://www.mathnet.ru/eng/fpm344 https://www.mathnet.ru/eng/fpm/v4/i3/p799
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