@article{Horodets’kyi_Martynyuk_Petryshyn_2020, title={On generalized Cauchy problem for one class of differential equation of infinite order}, volume={72}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/2321}, DOI={10.37863/umzh.v72i7.2321}, abstractNote={<p>UDC 517.98</p> <p>We 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.</p>}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Horodets’kyi , V. V. and Martynyuk, O. V. and Petryshyn, R. I.}, year={2020}, month={Jul.}, pages={886-902} }