TY - JOUR
AU - A. P. Verezhak
AU - V. V. Horodets’kyi
AU - R. I. Petryshyn
PY - 2018/03/25
Y2 - 2020/11/25
TI - A problem for one class of pseudodifferential
evolutionary equations multipoint in the time variable
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 3
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1560
AB - We establish the correct solvability of the multipoint (in the time variable) problem for the evolution equation with operatorof differentiation of infinite order in generalized $S$-type spaces. The properties of the fundamental solution of this problemand the behavior of the solution $u(t, x)$ as $t \rightarrow +\infty$ are investigated.
ER -