On the spectral properties of a class of high-order differential operators with operator coefficients
In this paper, we study one class of high - order differential operators. The main feature of these operators is their nonsemi - boundedness. The dependence of operator coefficients on variables creates additional difficulties in the study. In the course of the study, the conditions for the existen...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2020-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/346 |
| _version_ | 1797372686168489984 |
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| author | M.B. Muratbekov S.Zh. Igisinov B.M. Musilimov R.R. Makulbekova |
| author_facet | M.B. Muratbekov S.Zh. Igisinov B.M. Musilimov R.R. Makulbekova |
| author_sort | M.B. Muratbekov |
| collection | DOAJ |
| description |
In this paper, we study one class of high - order differential operators. The main feature of these operators is their nonsemi - boundedness. The dependence of operator coefficients on variables creates additional difficulties in the study. In the course of the study, the conditions for the existence of a solution and separability were first found. Also studied are the questions of the smoothness of solutions and on the spectrum of boundary value problems for unbounded differential equations with variable operator coefficients
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| first_indexed | 2024-03-08T18:39:24Z |
| format | Article |
| id | doaj.art-e1a0116718524e6d87449bfb17bf502c |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:24Z |
| publishDate | 2020-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-e1a0116718524e6d87449bfb17bf502c2023-12-29T10:20:27ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112020-06-01982On the spectral properties of a class of high-order differential operators with operator coefficientsM.B. MuratbekovS.Zh. IgisinovB.M. MusilimovR.R. Makulbekova In this paper, we study one class of high - order differential operators. The main feature of these operators is their nonsemi - boundedness. The dependence of operator coefficients on variables creates additional difficulties in the study. In the course of the study, the conditions for the existence of a solution and separability were first found. Also studied are the questions of the smoothness of solutions and on the spectrum of boundary value problems for unbounded differential equations with variable operator coefficients http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/346a differential operatornonsemi-boundednessan operator coefficienta spectrum |
| spellingShingle | M.B. Muratbekov S.Zh. Igisinov B.M. Musilimov R.R. Makulbekova On the spectral properties of a class of high-order differential operators with operator coefficients Қарағанды университетінің хабаршысы. Математика сериясы a differential operator nonsemi-boundedness an operator coefficient a spectrum |
| title | On the spectral properties of a class of high-order differential operators with operator coefficients |
| title_full | On the spectral properties of a class of high-order differential operators with operator coefficients |
| title_fullStr | On the spectral properties of a class of high-order differential operators with operator coefficients |
| title_full_unstemmed | On the spectral properties of a class of high-order differential operators with operator coefficients |
| title_short | On the spectral properties of a class of high-order differential operators with operator coefficients |
| title_sort | on the spectral properties of a class of high order differential operators with operator coefficients |
| topic | a differential operator nonsemi-boundedness an operator coefficient a spectrum |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/346 |
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