On generalized Cauchy problem for one class of differential equation of infinite order

UDC 517.98 We establish the solvability of a nonlocal multipoint time problem (which is treated as a generalization of the Cauchy problem) for an evolution equation with a pseudodifferential operator (a differentiation operator of infinite order) with initial conditions in the space of generalized f...

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Bibliographic Details
Date:2020
Main Authors: Horodets’kyi , V. V., Martynyuk, O. V., Petryshyn, R. I., Городецкий, В. В., Петришин, Р. И., Городецький, В. В., Мартинюк, О. В., Петришин, Р. I.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2321
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal