Evolution pseudodifferential equations with analytic symbols in spaces of s type

dc.contributor.author	Городецький, Василь Васильович
dc.contributor.author	Мартинюк, Ольга Василівна
dc.date.accessioned	2021-11-22T19:54:19Z
dc.date.available	2021-11-22T19:54:19Z
dc.date.issued	2021
dc.identifier.citation	Horodet’kyi, V.V., Martynyuk, O.V. Evolution pseudodifferential equations with analytic symbols in spaces of s type. Carpathian Math. Publ. 2021, 13 (1), 160-179.	uk_UA
dc.identifier.issn	2313-0210
dc.identifier.issn	2075-9827
dc.identifier.uri	https://archer.chnu.edu.ua/xmlui/handle/123456789/2207
dc.description.abstract	A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of S type. We consider the case when the initial condition of the problem is an element of an ultradistributions type space and the nonlocial condition contains pseudodifferential operators. The solvability of such problem is established, the properties of the fundamental solution are investigated, the analytical representation of the solution is found.	uk_UA
dc.description.sponsorship	Алгебри та інформатики	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Carpathian Mathematical Publications	uk_UA
dc.subject	nonlocal multipoint problem, pseudodifferential operator, generalized function	uk_UA
dc.title	Evolution pseudodifferential equations with analytic symbols in spaces of s type	uk_UA
dc.type	Article	uk_UA