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I. Sergeev (2014)
Properties of Characteristic Frequencies of Linear Equations of Arbitrary OrderJournal of Mathematical Sciences, 197
(2004)
Vvedenie v teoriyu differentsial’nykh uravnenii (Introduction to Theory of Differential Equations)
V. Bykov (2016)
On the baire classification of Sergeev frequencies of zeros and roots of solutions of linear differential equationsDifferential Equations, 52
P.S. Aleksandrov (1977)
Vvedenie v teoriyu mnozhestv i obshchuyu topologiyu
I.N. Sergeev (2006)
The Determination and Properties of Characteristic Frequencies of Linear EquationsTr. Semin. im. I.G. Petrovskogo, 25
A.Yu. Goritskii, T.N. Fisenko (2012)
Characteristic Frequencies of Zeros of a Sum of Two Harmonic OscillationsDiffer. Uravn., 48
(2014)
Existence of Third-Order Linear Equation with Countable Spectrum of Frequencies
(1964)
Translated under the title Zadachi i teoremy iz analiza
Michel Souslin
Sur une definition des ensembles mesurables B sans nombres transfinis
W. B.
Aufgaben und Lehrsätze aus der Analysis.Nature, 116
M. Smolentsev (2014)
Example of a third-order periodic differential equation whose frequency spectrum contains a closed intervalDifferential Equations, 50
(2015)
Existence of Infinite Everywhere-Discontinuous Spectra of Upper Characteristic Frequencies of Zeros and Signs of Linear Differential Equations, Vestsi Nats
(1937)
Teoriya mnozhestv (Set Theory)
(1986)
The Structure of the Set of Lower Perron Exponents of a Linear Differential System
(1953)
Lektsii ob analiticheskikh mnozhestvakh i ikh prilozheniyakh (Lectures on Analytic Sets and Their Applications), Moscow: Gosudarstv
A.F. Filippov (2004)
Vvedenie v teoriyu differentsial’nykh uravnenii
E. Barabanov, A. Voidelevich (2016)
Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations: IDifferential Equations, 52
N. Lusin
Sur la classification de M. Baire.
I.N. Sergeev (2004)
Definition of Characteristic Frequencies of Linear EquationDiffer. Uravn., 40
E.A. Barabanov, I.A. Volkov (1994)
The Structure of the Set of Lyapunov Characteristic Exponents of Exponentially Stable Quasi-Linear SystemsDiffer. Uravn., 30
M.V. Smolentsev (2014)
Example of a Third-Order Periodic Differential EquationWhose Frequency Spectrum Contains a Closed IntervalDiffer. Uravn., 50
E.A. Barabanov, A.S. Voidelevich (2016)
Spectra of Upper Sergeev Frequencies of Zeros and Signs of Linear Differential EquationsDokl. Nats. Akad. Navuk Belarusi, 60
V.V. Bykov (2016)
On Baire Classification of Sergeev Frequencies of Zeros and Roots of Solutions of Linear Differential EquationsDiffer. Uravn., 52
A. Goritskii, T. Fisenko (2012)
Characteristic frequencies of zeros of a sum of two harmonic oscillationsDifferential Equations, 48
E.A. Barabanov, A.S. Voidelevich (2016)
Remark on the Theory of Sergeev Frequencies of ZerosSigns, and Roots for Solutions of Linear Differential Equations. I, Differ. Uravn., 52
N.N. Luzin (1953)
Lektsii ob analiticheskikh mnozhestvakh i ikh prilozheniyakh
(1916)
Sur le puissance des ensembles (B), C
I.N. Sergeev (2013)
Properties of Characteristic Frequencies of Linear Equations of an Arbitrary OrderTr. Semin. im. I.G. Petrovskogo, 29
The theorem that claims that the spectra (ranges) of upper and lower Sergeev frequencies of zeros, signs, and roots of a linear differential equation of order > 2 with continuous coefficients belong to the class of Suslin sets on the nonnegative half-line of the extended numerical line is inverted for the spectra of upper frequencies of third-order equations under the assumption that the spectra contain zero. In addition, we construct examples of third-order equations with continuous coefficients whose Lebesgue sets of the upper Sergeev frequency of signs belong to the exact first Borel class, and the Lebesgue sets of upper Sergeev frequencies of zeros and roots belong to the exact second Borel class.
Differential Equations – Springer Journals
Published: Jan 20, 2017
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