TY - JOUR
AU - V. V. Horodets’kyi
AU - O. V. Martynyuk
AU - R. I. Petryshyn
PY - 2020/07/15
Y2 - 2020/08/12
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 - http://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 -