Determining of right-hand side of higher order ultraparabolic equation

In the paper the conditions of the existence and uniqueness of the solution for the inverse problem for higher order ultraparabolic equation are obtained. The equation contains two unknown functions of spatial and time variables in its right-hand side. The overdetermination conditions of the integra...

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Main Author:	Protsakh Nataliya
Format:	Article
Language:	English
Published:	De Gruyter 2017-08-01
Series:	Open Mathematics
Subjects:	higher order ultraparabolic equation inverse problem initial-boundary value problem unique solvability 35k70 35r30
Online Access:	https://doi.org/10.1515/math-2017-0086

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spelling	doaj-f0f9b0fb1a4c43f4bc5e151e3ee60e0f2021-09-06T19:20:09ZengDe GruyterOpen Mathematics2391-54552017-08-011511048106210.1515/math-2017-0086math-2017-0086Determining of right-hand side of higher order ultraparabolic equationProtsakh Nataliya0National Forestry Engineering University of Ukraine, L’viv, Generala Chuprynky, 103, 79057, UkraineIn the paper the conditions of the existence and uniqueness of the solution for the inverse problem for higher order ultraparabolic equation are obtained. The equation contains two unknown functions of spatial and time variables in its right-hand side. The overdetermination conditions of the integral type are used.https://doi.org/10.1515/math-2017-0086higher order ultraparabolic equationinverse probleminitial-boundary value problemunique solvability35k7035r30
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Protsakh Nataliya
spellingShingle	Protsakh Nataliya Determining of right-hand side of higher order ultraparabolic equation Open Mathematics higher order ultraparabolic equation inverse problem initial-boundary value problem unique solvability 35k70 35r30
author_facet	Protsakh Nataliya
author_sort	Protsakh Nataliya
title	Determining of right-hand side of higher order ultraparabolic equation
title_short	Determining of right-hand side of higher order ultraparabolic equation
title_full	Determining of right-hand side of higher order ultraparabolic equation
title_fullStr	Determining of right-hand side of higher order ultraparabolic equation
title_full_unstemmed	Determining of right-hand side of higher order ultraparabolic equation
title_sort	determining of right-hand side of higher order ultraparabolic equation
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2017-08-01
description	In the paper the conditions of the existence and uniqueness of the solution for the inverse problem for higher order ultraparabolic equation are obtained. The equation contains two unknown functions of spatial and time variables in its right-hand side. The overdetermination conditions of the integral type are used.
topic	higher order ultraparabolic equation inverse problem initial-boundary value problem unique solvability 35k70 35r30
url	https://doi.org/10.1515/math-2017-0086
work_keys_str_mv	AT protsakhnataliya determiningofrighthandsideofhigherorderultraparabolicequation
_version_	1717777192050491392

Determining of right-hand side of higher order ultraparabolic equation

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