On the spectral properties of the differential operators with involution
In this paper we deal with the problems of the eigenfunction expansions related to the differential operators with involution. The mean value formula for the eigenfunction is obtained with application of the transformation methods of the operators in the symmetric regions. The obtained formula is ap...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IOP Publishing Ltd
2021
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/35394/ http://umpir.ump.edu.my/id/eprint/35394/1/On%20the%20spectral%20properties%20of%20the%20differential%20operators%20with%20involution.pdf |
| _version_ | 1848824766908071936 |
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| author | Abdullayeva, Cholpon Turdueva, Begimai Ahmedov, Anvarjon A. |
| author_facet | Abdullayeva, Cholpon Turdueva, Begimai Ahmedov, Anvarjon A. |
| author_sort | Abdullayeva, Cholpon |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In this paper we deal with the problems of the eigenfunction expansions related to the differential operators with involution. The mean value formula for the eigenfunction is obtained with application of the transformation methods of the operators in the symmetric regions. The obtained formula is applied to estimate the eigenfunctions of the given differential operator in the ball. For domains with smooth boundary, the solution to these differential operator problems involves eigenfunction expansions associated with biharmonic-type operator with Navier boundary conditions. |
| first_indexed | 2025-11-15T03:18:15Z |
| format | Conference or Workshop Item |
| id | ump-35394 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:18:15Z |
| publishDate | 2021 |
| publisher | IOP Publishing Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-353942022-10-28T04:27:14Z http://umpir.ump.edu.my/id/eprint/35394/ On the spectral properties of the differential operators with involution Abdullayeva, Cholpon Turdueva, Begimai Ahmedov, Anvarjon A. Q Science (General) QA Mathematics T Technology (General) In this paper we deal with the problems of the eigenfunction expansions related to the differential operators with involution. The mean value formula for the eigenfunction is obtained with application of the transformation methods of the operators in the symmetric regions. The obtained formula is applied to estimate the eigenfunctions of the given differential operator in the ball. For domains with smooth boundary, the solution to these differential operator problems involves eigenfunction expansions associated with biharmonic-type operator with Navier boundary conditions. IOP Publishing Ltd 2021-08-17 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/35394/1/On%20the%20spectral%20properties%20of%20the%20differential%20operators%20with%20involution.pdf Abdullayeva, Cholpon and Turdueva, Begimai and Ahmedov, Anvarjon A. (2021) On the spectral properties of the differential operators with involution. In: Journal of Physics: Conference Series, Simposium Kebangsaan Sains Matematik ke-28 (SKSM28) , 28-29 July 2021 , Kuantan, Pahang, Malaysia. pp. 1-5., 1988. ISSN 1742-6588 (Published) https://doi.org/10.1088/1742-6596/1988/1/012083 |
| spellingShingle | Q Science (General) QA Mathematics T Technology (General) Abdullayeva, Cholpon Turdueva, Begimai Ahmedov, Anvarjon A. On the spectral properties of the differential operators with involution |
| title | On the spectral properties of the differential operators with involution |
| title_full | On the spectral properties of the differential operators with involution |
| title_fullStr | On the spectral properties of the differential operators with involution |
| title_full_unstemmed | On the spectral properties of the differential operators with involution |
| title_short | On the spectral properties of the differential operators with involution |
| title_sort | on the spectral properties of the differential operators with involution |
| topic | Q Science (General) QA Mathematics T Technology (General) |
| url | http://umpir.ump.edu.my/id/eprint/35394/ http://umpir.ump.edu.my/id/eprint/35394/ http://umpir.ump.edu.my/id/eprint/35394/1/On%20the%20spectral%20properties%20of%20the%20differential%20operators%20with%20involution.pdf |