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The loss of the property of reducibility by systems of linear differential equations with almost periodic coefficients

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Abstract

It is proved that among systems with almost periodic analytic coefficients (with an algebraic number as frequency base), there are systems which lose the property of reducibility on the boundary of some disk of values of the parameter.

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Literature cited

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Authors and Affiliations

  1. P. Togliatti Leningrad Engineering-Economics Institute, USSR

    I. N. Blinov

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  1. I. N. Blinov
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Translated from Matematicheskie Zametki, Vol. 8, No. 1, pp. 115–120, July, 1970.

In conclusion the author wishes to express his gratitude to L. B. Danilov and M. G. Rabinovich for their comments on this work and also to D. V. Anosov for his suggestions.

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Blinov, I.N. The loss of the property of reducibility by systems of linear differential equations with almost periodic coefficients. Mathematical Notes of the Academy of Sciences of the USSR 8, 534–537 (1970). https://doi.org/10.1007/BF01093448

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  • DOI: https://doi.org/10.1007/BF01093448

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