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