# A problem for one class of pseudodifferential evolutionary equations multipoint in the time variable

### Abstract

We establish the correct solvability of the multipoint (in the time variable) problem for the evolution equation with operator of differentiation of infinite order in generalized $S$-type spaces. The properties of the fundamental solution of this problem and the behavior of the solution $u(t, x)$ as $t \rightarrow +\infty$ are investigated.
Published

25.03.2018

How to Cite

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 70, no. 3, Mar. 2018, pp. 337-55, http://umj.imath.kiev.ua/index.php/umj/article/view/1560.

Issue

Section

Research articles