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

• Date: 2018
• Main Authors: Verezhak, A. P., Horodets’kyi, V. V., Petryshyn, R. I., Вережак, А. П., Городецкий, В. В., Петришин, Р. И.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1560
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...