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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...