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JOURNALS // Trudy Seminara imeni I. G. Petrovskogo // Archive

Tr. Semim. im. I. G. Petrovskogo, 2014 Issue 30, Pages 75–93 (Mi tsp71)

This article is cited in 19 papers

Coincidence of complete and vector frequencies of solutions of a linear autonomous system

D. S. Burlakov, S. V. Tsoii


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.

UDC: 517.925.56


 English version:
Journal of Mathematical Sciences (New York), 2015, 210:2, 155–167


© Steklov Math. Inst. of RAS, 2024