A description of the spectrum of Sergeev frequencies of zeros of linear difference equations

DOI10.1080/10236198.2022.2132155zbMath1505.39001OpenAlexW4308078430MaRDI QIDQ5870243

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Publication date: 6 January 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2022.2132155

zbMATH Keywords

asymptotic behaviournumerical characteristicslinear difference equationsSergeev frequencies

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Asymptotic properties of solutions to ordinary differential equations (34D05) Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Cites Work

• On the Baire classification of Sergeev frequencies of zeros and roots of solutions of linear differential equations
• Oscillation, rotation, and wandering exponents of solutions of differential systems
• Characteristic frequencies of zeros of a sum of two harmonic oscillations
• Properties of characteristic frequencies of linear equations of arbitrary order
• Turnability characteristics of solutions of differential systems
• Example of a third-order periodic differential equation whose frequency spectrum contains a closed interval
• Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations. I
• Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations. II
• Definition and properties of characteristic frequencies of a linear equation
• The existence of a linear third-order equation with a countable frequency spectrum
• Oscillation and wandering of solutions to a second order differential equation
• The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems
• Oscillation and wandering characteristics of solutions of a linear differential system
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