We establish the solvability of a nonlocal multipoint (in time) problem regarded as a generalization of the Cauchy problem for the evolution equation with pseudodifferential operator (differentiation operator of infinite order) with initial conditions from the space of generalized functions of the ultradistribution type.

中文翻译：

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一类无穷阶微分方程的广义柯西问题

我们从超分布类型的广义函数空间中建立了具有初始条件的伪微分算子（无穷次微分算子）的演化方程的非局部多点（时间）问题的可解性，该问题被视为柯西问题的推广。