TY - JOUR AU - О. A. Boichuk AU - О. О. Pokutnyi PY - 2014/12/25 Y2 - 2024/03/28 TI - Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 66 IS - 12 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2248 AB - We establish necessary and sufficient conditions for the existence of bounded solutions of linear differential equations in the Fréchet space. The solutions are constructed with the use of a strong generalized inverse operator. ER -