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This article is cited in 6 scientific papers (total in 6 papers)
Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy
V. B. Levenshtam Rostov State University
Abstract:
The first part of this article is an investigation of the question of preservation of an exponential dichotomy for solutions of a linear parabolic equation upon a high-frequency perturbation of its principal terms. The second part contains a justification of the averaging principle on the whole time axis for quasilinear parabolic equations with rapidly oscillating principal part.
Received: 25.06.1990
Citation:
V. B. Levenshtam, “Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 95–132
Linking options:
https://www.mathnet.ru/eng/im928https://doi.org/10.1070/IM1993v041n01ABEH002253 https://www.mathnet.ru/eng/im/v56/i4/p813
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