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

• Date: 2002
• Main Authors: Boichuk, А. A., Boichuk, О. A., Samoilenko, A. M., Бойчук, Ан. А., Бойчук, А. А., Самойленко, А. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4189
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 semi...