Complete description of Lyapunov and Perron irregularity coefficients of linear differential systems continuously depending on a parameter

DOI10.1134/S0012266119030042zbMath1423.34069OpenAlexW2941903590MaRDI QIDQ2313326

Aliaksei Vaidzelevich

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119030042

Mathematics Subject Classification ID

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

Related Items (1)

Lyapunov irregularity coefficient as a function of the parameter for families of linear differential systems whose dependence on the parameter is continuous uniformly on the time half-line

Cites Work

• Lyapunov exponents of families of morphisms of metrized vector bundles as functions on the base of the bundle
• Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations. I
• Complete description of the relations between the irregularity coefficients of mutually adjoint differential systems
• Complete description of relations between irregularity coefficients of linear differential systems
• Complete description of the Lyapunov spectra of families of linear differential systems whose dependence on the parameter is continuous uniformly on the time semiaxis
• Relations between regularity coefficients
• Description of relations between regularity coefficients of time‐varying linear systems
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