2017
Том 69
№ 9

All Issues

Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis

Boichuk A. A., Boichuk An. A., Samoilenko A. M.

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Abstract

We establish conditions under which solutions of weakly-perturbed systems of linear ordinary differential equations bounded on the entire axis R emerge from the point ε = 0 in the case where the corresponding unperturbed homogeneous linear differential system is exponentially dichotomous on the semiaxes R + and R .

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 11, pp 1842-1858.

Citation Example: Boichuk A. A., Boichuk An. A., Samoilenko A. M. Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis // Ukr. Mat. Zh. - 2002. - 54, № 11. - pp. 1517-1530.

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