On essential values of Sergeev's frequencies and exponents of oscillation for solutions of a third-order linear differential periodic equation

DOI10.35634/vm230110zbMath1526.34011OpenAlexW4362640843MaRDI QIDQ6175504

A. Kh. Stash

Publication date: 18 August 2023

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu841

zbMATH Keywords

linear systemsoscillationdifferential equationsnumber of zerosexponents of oscillationSergeev's frequencies

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Nonautonomous smooth dynamical systems (37C60)

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
• 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
• Coincidence of complete and vector frequencies of solutions of a linear autonomous system
• Oscillation, rotation, and wandering of solutions to linear differential systems
• Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems
• Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane
• 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
• The absence of residual property for strong exponents of oscillation of linear systems
• Properties of exponents of oscillation of linear autonomous differential system solutions
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