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This article is cited in 1 scientific paper (total in 1 paper)
Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices
Yu. A. Konyaev, D. A. Maslov National Research University "Moscow Power Engineering Institute"
Abstract:
An algorithm for the spectral analysis of nonautonomous systems of differential equations on the semiaxis whose matrix can be presented as the sum of exponential-type matrices is developed. This method, which is based on a version of the splitting method, allows us to prove a theorem stating that the initial system is almost reducible to a simpler equivalent system and to formulate a sufficient condition for the asymptotic stability and the stability of its trivial solution.
Keywords:
nonautonomous system of ordinary differential equations, splitting method, asymptotic reducibility, stability.
Received: 17.11.2015 Revised: 02.03.2016
Citation:
Yu. A. Konyaev, D. A. Maslov, “Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices”, Mat. Zametki, 101:2 (2017), 226–231; Math. Notes, 101:2 (2017), 260–264
Linking options:
https://www.mathnet.ru/eng/mzm11017https://doi.org/10.4213/mzm11017 https://www.mathnet.ru/eng/mzm/v101/i2/p226
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Abstract page: | 328 | Full-text PDF : | 27 | References: | 46 | First page: | 21 |
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