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Green's function of a linear extension of a dynamic system on a torus, its conditions of uniqueness and the properties following from them

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Literature cited

  1. A. M. Samoilenko, “Necessary conditions of existence of invariant tori of linear extensions of dynamic systems on a torus,” Differents. Uravn.,16, No. 8, 1427–1437 (1980).

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  2. J. Moser, “A fast convergent iteration method and nonlinear differential equations,” Usp. Mat. Nauk,23, No. 4, 179–238 (1968).

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  3. R. Sacker, “A new approach to the perturbation theory of invariant surfaces,” Commun. Pure Appl. Math.,18, No. 4, 717–732 (1965).

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  4. A. M. Samoilenko, “Preservation of an invariant torus under perturbations,” Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 6, 1219–1240 (1970).

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Authors and Affiliations

  1. Kiev State University, USSR

    A. M. Samoilenko

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  1. A. M. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 6, pp. 791–797, November–December, 1980.

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Samoilenko, A.M. Green's function of a linear extension of a dynamic system on a torus, its conditions of uniqueness and the properties following from them. Ukr Math J 32, 537–542 (1980). https://doi.org/10.1007/BF01087184

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  • DOI: https://doi.org/10.1007/BF01087184

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