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Invariant tori of linear extensions which do not have Green's functions

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Ukrainian Mathematical Journal Aims and scope

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We study the integral representation of invariant tori of linear extensions which do not have Green's functions.

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References

  1. Yu. A. Mitropol'skii, A. M. Samoilenko, and V. L. Kulik,The Investigation of the Dichotomy of Linear Systems of Differential Equations by Using Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1990).

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  2. Yu. A. Mitropo'skii, A. M. Samoilenko, and V. L. Kulik, “Application of quadratic forms to the investigation of systems of lineardifferential equation,”Differents. Uravn.,21, No. 5, 776–787 (1985).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 4, pp. 520–524, April, 1993.

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Pyatetskaya, E.V. Invariant tori of linear extensions which do not have Green's functions. Ukr Math J 45, 558–563 (1993). https://doi.org/10.1007/BF01062951

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  • DOI: https://doi.org/10.1007/BF01062951

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