TY - JOUR AU - V. V. Horodets’kyi AU - O. V. Martynyuk AU - R. I. Petryshyn PY - 2020/07/15 Y2 - 2024/03/29 TI - On generalized Cauchy problem for one class of differential equation of infinite order JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 72 IS - 7 SE - Research articles DO - 10.37863/umzh.v72i7.2321 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2321 AB - UDC 517.98We establish the solvability of a nonlocal multipoint time problem (which is treated as a generalization of the Cauchy problem) for an evolution equation with a pseudodifferential operator (a differentiation operator of infinite order) with initial conditions in the space of generalized functions having type of ultra distributions. ER -