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Статья
2017

Analysis of nonautonomous systems of ordinary differential equations with exponentially periodic matrix


Yu. A. KonyaevYu. A. Konyaev, D. A. MaslovD. A. Maslov
Русская математика
https://doi.org/10.3103/S1066369X17100073
Abstract / Full Text

We investigate a class of nonautonomous systems of ordinary differential equations whose matrix can be characterized as exponentially periodic. We develop the algorithm of spectral analysis of these systems. By this algorithm we prove reducibility theorems. The proposed algorithm is based on the splitting method that allows to reduce considered systems to simpler ones with quasidiagonal matrix, and formulate constructive conditions of solutions stability.

Author information
  • National Research University “Moscow Power Engineering Institute“, ul. Krasnokazarmennaya 14, Moscow, 111250, RussiaYu. A. Konyaev & D. A. Maslov
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