Boichuk А. A.
Ukr. Mat. Zh. - 2002. - 54, № 11. - pp. 1517-1530
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 −.