On the continuum spectra of the oscillation exponents of linear homogeneous differential systems

DOI10.20310/2686-9667-2023-28-141-60-67OpenAlexW4361990137MaRDI QIDQ6167574

A. Kh. Stash

Publication date: 7 August 2023

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu279

zbMATH Keywords

differential equationsoscillation of solutionlinear homogeneous differential systemsexponents of oscillationSergeev's frequenciesnumber of zeros of solutionspectrum of system exponent

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) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• 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
• Properties of exponents of oscillation of linear autonomous differential system solutions

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