A nonlocal problem multipoint by time for one class of evolutionary singular equations

1Gorodetskii, VV, 1Martynyuk, OV
1Yuriy Fedkovych Chernivtsi National University
Dopov. Nac. akad. nauk Ukr. 2018, 5:8-15
https://doi.org/10.15407/dopovidi2018.05.008
Section: Mathematics
Language: Ukrainian
Abstract: 

The solvability of a nonlocal problem multipoint by time for evolutionary equations with pseudo-Bessel infinite-order operators with an initial condition that is an element of the space of generalized functions of the dis tribution type is established in the case where the nonlocal multipoint condition contains pseudo-Bessel ope rators.

Keywords: countably normed space, evolutionary equations, nonlocal problem multipoint by time, pseudodifferential operator
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