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Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations

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Abstract

An integral invariant set is constructed for systems of differential equations by using the Green-Samoilenko function. The problem of asymptotic stability of this set is studied.

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References

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

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

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Authors and Affiliations

  1. Kiev University, Kiev

    F. A. Asrorov & N. A. Perestyuk

Authors
  1. F. A. Asrorov
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  2. N. A. Perestyuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 8, pp. 1067–1071, August, 1994.

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Asrorov, F.A., Perestyuk, N.A. Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations. Ukr Math J 46, 1172–1177 (1994). https://doi.org/10.1007/BF01056177

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  • DOI: https://doi.org/10.1007/BF01056177

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