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

  • A. P. Verezhak
  • V. V. Horodets’kyi
  • R. I. Petryshyn

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
VerezhakA. P., Horodets’kyiV. V., and PetryshynR. I. “A Problem for One Class of pseudodifferential evolutionary Equations Multipoint in the Time Variable”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 3, Mar. 2018, pp. 337-55, http://umj.imath.kiev.ua/index.php/umj/article/view/1560.
Section
Research articles