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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| Format: | Article |
| Language: | English |
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De Gruyter
2017-08-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0086 |
| _version_ | 1818597849532727296 |
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| author | Protsakh Nataliya |
| author_facet | Protsakh Nataliya |
| author_sort | Protsakh Nataliya |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-16T11:54:20Z |
| format | Article |
| id | doaj.art-f0f9b0fb1a4c43f4bc5e151e3ee60e0f |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-16T11:54:20Z |
| publishDate | 2017-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-f0f9b0fb1a4c43f4bc5e151e3ee60e0f2022-12-21T22:32:37ZengDe 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 |
| 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 |
| title | 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_short | Determining of right-hand side of higher order ultraparabolic equation |
| title_sort | determining of right hand side of higher order ultraparabolic equation |
| 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 |