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A criterion of exponential dichotomy for a countable system of differential equations with quasiperiodic coefficients

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Abstract

We establish necesary and sufficient conditions for the exponential diehetemy with matrix projeseters of a countable system of differential equations with quasiperiodic coefficients.

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References

  1. Yu. M. Daletskii and M. G. Krein, Stability of Solutions of Differential Equations in Banach Spaces [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. A. M. Samoilenko, “On some problems of the perturbation theory of smooth invariant tori of dynamical systems,” Ukr. Mat. Zh., 46, No. 12, 1665–1699 (1994).

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  4. A. M. Samoilenko and Yu. V. Teplinskii, Countable Systems of Differential Equations [in Russian], Institute of Mathematics, Ukrainian Academy Science, Kiev (1993).

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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1717–1722, December, 1997.

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Él’nazarov, A.A. A criterion of exponential dichotomy for a countable system of differential equations with quasiperiodic coefficients. Ukr Math J 49, 1938–1944 (1997). https://doi.org/10.1007/BF02513074

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  • DOI: https://doi.org/10.1007/BF02513074

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