Generalized Spaces of Type S and Evolutionary Pseudodifferential Equations

dc.contributor.author	Horodets’kyi, V.V.
dc.contributor.author	Martynyuk, O.V.
dc.contributor.author	Kolisnyk, R.S.
dc.date.accessioned	2022-11-17T10:56:14Z
dc.date.available	2022-11-17T10:56:14Z
dc.date.issued	2022
dc.identifier.citation	Horodets’kyi, V.V., Martynyuk, O.V. & Kolisnyk, R.S. Generalized Spaces of Type S and Evolutionary Pseudodifferential Equations. J Math Sci 265, 589–621 (2022).	uk_UA
dc.identifier.issn	1573-8795
dc.identifier.uri	https://archer.chnu.edu.ua/xmlui/handle/123456789/5635
dc.description.abstract	We study the main operations (argument shift, differentiation, etc.) in the generalized spaces of type S and some classes of analytic functions and pseudodifferential operators in spaces of this kind, as well as the properties of the Fourier transforms of generalized functions, convolutions, convolvers, and multiplicators. The correct solvability of the nonlocal time problem is proved for one class of pseudodifferential equations in generalized spaces of type S. Its solution is presented in the form of convolution of the fundamental solution with an initial function, which is an element of the space of generalized functions of the ultradistribution type.	uk_UA
dc.description.sponsorship	алгебри та інформатики	uk_UA
dc.language.iso	en_US	uk_UA
dc.publisher	Journal of Mathematical Sciences	uk_UA
dc.title	Generalized Spaces of Type S and Evolutionary Pseudodifferential Equations	uk_UA
dc.type	Article	uk_UA