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Critical frequencies of canonical fractionally periodic equations. (English. Russian original) Zbl 0333.34034

Sib. Math. J. 16(1975), 471-479 (1976); translation from Sib. Mat. Zh. 16, 612-622 (1975).

MSC:

34C25 Periodic solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
34D10 Perturbations of ordinary differential equations
93C15 Control/observation systems governed by ordinary differential equations
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References:

[1] M. G. Krein, Basic Propositions of the Theory of ?-Zones of Stability for a Canonical System of Linear Differential Equations with Periodic Coefficients [in Russian], Izd-vo AN SSSR, Moscow (1955), pp. 413-498.
[2] A. M. Lyapunov, The General Problem of Stability of a Motion [in Russian], ONTI, Leningrad-Moscow (1935).
[3] V. A. Yakubovich, ?Critical frequencies of quasicanonical systems,? Vestn. Leningr. un-ta, Seriya Matemtika, Mekhanika, Astronomiya, No. 13, 35-63 (1958).
[4] I. M. Gel’fand and V. B. Lidskii, ?On the structure of regions of stability of canonical linear systems of differential equations with periodic coefficients,? Uspekhi Matematicheskikh Nauk,10, (63), 3-40 (1955).
[5] V. A. Yakubovich and V. M. Starzhinskii, Linear Differential Equations with Periodic Coefficients and Their Applications [in Russian], Nauka, Moscow (1972).
[6] R. P. Shepeleva and V. A. Yakubovich, ?Critical frequencies of systems which are invariant with respect to time reversal,? Vestn. Leningr. un-ta, Seriya Matematika, Mekhanika, Astronomiya, No. 7, 71-81 (1972). · Zbl 0284.34048
[7] R. P. Shepeleva and V. A. Yakubovich, ?Critical frequencies of fractionally periodic systems which are invariant with respect to time reversal,? Vestn. Leningr. un-ta, Seriya Matematika, Mekhanika, Astronomiya, No. 13, 64-73 (1974).
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