Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations. II

DOI10.1134/S0012266116120016zbMath1362.34020OpenAlexW4245291349MaRDI QIDQ518149

E. A. Barabanov, Aliaksei Vaidzelevich

Publication date: 28 March 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116120016

zbMATH Keywords

third-order equationsfirst Borel classsecond Borel classspectra of upper frequencies

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (6)

On essential values of oscillation exponents for solutions of a linear homogeneous two-dimensional differential system ⋮ On the control of the spectra of upper strong oscillation exponents of signs, zeros, and roots of third-order differential equations ⋮ Existence of Infinite, everywhere discontinuous spectra of upper exponents of oscillation of signs, zeros, and roots of third-order differential equations ⋮ On essential values of Sergeev's frequencies and exponents of oscillation for solutions of a third-order linear differential periodic equation ⋮ Unnamed Item ⋮ A description of the spectrum of Sergeev frequencies of zeros of linear difference equations

Cites Work

• On the Baire classification of Sergeev frequencies of zeros and roots of solutions of linear differential equations
• Characteristic frequencies of zeros of a sum of two harmonic oscillations
• Example of a third-order periodic differential equation whose frequency spectrum contains a closed interval
• Radicals of Ore Extension of Skew Armendariz Rings
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