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Continuity properties of invariant tori and Green's function of linear expansions on a torus

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Literature cited

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

    Google Scholar 

  2. A. M. Samoilenko and V. L. Kulik, “Continuity of the Green's function of the problem of invariant tori,” Ukr. Mat. Zh.,30, No. 6, 779–788 (1978).

    Google Scholar 

  3. Yu. A. Mitropol'skii, A. M. Samoilenko, and V. L. Kulik, “Application of quadratic forms to the study of systems of linear differential equations,” Differents. Uravn.,21, No. 5, 776–787 (1985).

    Google Scholar 

  4. Yu. A. Mitropol'skii and V. L. Kulik, “Differentiable invariant manifolds of dynamical systems,” Differents. Uravn.,22, No. 9, 1523–1532 (1986).

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  5. J. R. Sacker and G. R. Sell, “A spectral theory for linear differential systems,” Different. Equations,27, No. 3, 320–358 (1978).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 12, pp.1709–1714, December, 1989.

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Grod, I.N., Kulik, V.L. Continuity properties of invariant tori and Green's function of linear expansions on a torus. Ukr Math J 41, 1477–1481 (1989). https://doi.org/10.1007/BF01056120

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  • DOI: https://doi.org/10.1007/BF01056120

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