Abstract
It is shown that for each solution of any linear autonomous system, the complete frequency and the vector frequency coincide. This implies that their spectra coincide with the set of absolute values of the imaginary parts of the eigenvalues of the coefficient matrix of the system.
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 30, Part I, pp. 75–93, 2014.
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Burlakov, D.S., Tsoii, S.V. Coincidence of Complete and Vector Frequencies of Solutions of a Linear Autonomous System. J Math Sci 210, 155–167 (2015). https://doi.org/10.1007/s10958-015-2554-7
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DOI: https://doi.org/10.1007/s10958-015-2554-7