Properties of exponents of oscillation of linear autonomous differential system solutions

DOI10.20537/VM190407zbMath1479.34023OpenAlexW3004960686MaRDI QIDQ5139119

A. Kh. Stash

Publication date: 7 December 2020

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

Full work available at URL: http://mathnet.ru/eng/vuu701

zbMATH Keywords

linear systemsoscillationLyapunov exponentsdifferential equationsnumber of zerosexponents of oscillation

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)

Related Items (7)

Oriented Rotatability Exponents of Solution of Autonomous Differential Systems ⋮ On essential values of oscillation exponents for solutions of a linear homogeneous two-dimensional differential system ⋮ Spectra of Oscillation and Rotatability Exponents of Solutions of Homogeneous Differential Systems ⋮ Oriented rotatability exponents of solutions to homogeneous autonomous linear differential systems ⋮ On the continuum spectra of the oscillation exponents of linear homogeneous differential systems ⋮ On essential values of Sergeev's frequencies and exponents of oscillation for solutions of a third-order linear differential periodic equation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Properties of complete and vector sign frequencies of solutions of linear autonomous differential equations
• Definition and properties of characteristic frequencies of a linear equation
• Coincidence of complete and vector frequencies of solutions of a linear autonomous system
• 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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