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Published in 2017 at "Differential Equations"
DOI: 10.1134/s0012266117010013
Abstract: The definition and existence criterion are given for the generalized-periodic motions of a certain wide class of systems. The class contains all the systems that can be characterized by the classical periodic operator of displacement,…
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Keywords:
motions nonautonomous;
periodic motions;
generalized periodic;
nonautonomous systems ... See more keywords
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Published in 2017 at "Russian Mathematics"
DOI: 10.3103/s1066369x17100073
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…
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Keywords:
ordinary differential;
exponentially periodic;
systems ordinary;
nonautonomous systems ... See more keywords