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On General Exponents of Conditionally Periodic Systems

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Abstract

We prove that the upper general exponents of all systems in the \(H \)-class of a system of linear differential equations with conditionally periodic coefficients are the same. The relation between these exponents and the spectral radius of the monodromy operator of the original system is indicated.

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REFERENCES

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Funding

This work was partly supported by the Program of State Support for Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University).

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Authors and Affiliations

  1. Ural Federal University, Yekaterinburg, 620002, Russia

    Yu. D. Kozlov

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  1. Yu. D. Kozlov
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Correspondence to Yu. D. Kozlov.

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Translated by V. Potapchouck

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Kozlov, Y.D. On General Exponents of Conditionally Periodic Systems. Diff Equat 57, 1307–1312 (2021). https://doi.org/10.1134/S0012266121100050

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  • DOI: https://doi.org/10.1134/S0012266121100050

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