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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… Click to show full abstract
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.
Keywords:
ordinary differential;
exponentially periodic;
systems ordinary;
nonautonomous systems;
differential equations;
analysis nonautonomous
Journal Title: Russian Mathematics
Year Published: 2017
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Journal Title: Russian Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!