TY - JOUR AU - О. A. Boichuk AU - V. Р. Zhuravlyov AU - О. О. Pokutnyi PY - 2018/01/25 Y2 - 2024/03/29 TI - Bounded solutions of evolutionary equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 70 IS - 1 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1539 AB - We study the problems of existence and representations of the solutions bounded on the entire axis for both linear andnonlinear differential equations with unbounded operator coefficients in the Fr´echet and Banach spaces under the conditionof exponential dichotomy on the semiaxes of the corresponding homogeneous equation. ER -