Abstract
We propose an integral form of the Green function for homogeneous linear extensions of dynamical systems in the case of the existence of their solutions bounded with respect to normal coordinates.
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REFERENCES
Yu. A. Mitropol’skii, A. M. Samoilenko, and V. L. Kulik, Investigation of Dichotomy of Linear Systems of Differential Equations Using Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1990).
A. M. Samoilenko, “On the existence of a unique Green function for the linear extension of a dynamical system on a torus,” Ukr. Mat. Zh., 53, No.4, 513–521 (2001).
A. A. Boichuk, “A condition for the existence of a unique Green-Samoilenko function for the problem of invariant torus,” Ukr. Mat. Zh., 53, No.4, 556–559 (2001).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 1, pp. 84–93, January, 2005.
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Kulyk, H.M., Kulyk, V.L. Integral Form of Bounded Solutions of Some Systems of Differential Equations. Ukr Math J 57, 100–111 (2005). https://doi.org/10.1007/s11253-005-0173-z
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DOI: https://doi.org/10.1007/s11253-005-0173-z