The correct solvability of a nonlocal multipoint (in time) problem for the evolution equations with differentiation operators of infinite order is established for an infinite time interval and an initial function, which is an element of the space of generalized functions of the type W′. The properties of the fundamental solution and the behavior of the solution as t → +∞ are investigated.

中文翻译：

---

W类型空间中带解析符号的进化伪微分方程的非局部多点（时间）问题

具有无穷阶微分算子的演化方程的非局部多点（时间上）问题的正确可解性是针对无穷时间间隔和初始函数建立的，初始函数是类型 W' 的广义函数空间的一个元素。研究了基本解的性质和解在 t → +∞ 时的行为。