Separability of the third-order differential operator given on the whole plane
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity. In addition under some restrictions on the coefficients, the bounded invertibility of the given operator is...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2022-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/485 |
| _version_ | 1797372650964647936 |
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| author | A.O. Suleimbekova |
| author_facet | A.O. Suleimbekova |
| author_sort | A.O. Suleimbekova |
| collection | DOAJ |
| description |
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity. In addition under some restrictions on the coefficients, the bounded invertibility of the given operator is proved and a coercive estimate is obtained, i.e. separability is proved.
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| first_indexed | 2024-03-08T18:38:54Z |
| format | Article |
| id | doaj.art-525338dfac1846218f712708cb8559d8 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:54Z |
| publishDate | 2022-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-525338dfac1846218f712708cb8559d82023-12-29T10:19:31ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112022-03-01105110.31489/2022m1/109-117Separability of the third-order differential operator given on the whole planeA.O. Suleimbekova In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity. In addition under some restrictions on the coefficients, the bounded invertibility of the given operator is proved and a coercive estimate is obtained, i.e. separability is proved. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/485resolventthird-order differential operatorseparability |
| spellingShingle | A.O. Suleimbekova Separability of the third-order differential operator given on the whole plane Қарағанды университетінің хабаршысы. Математика сериясы resolvent third-order differential operator separability |
| title | Separability of the third-order differential operator given on the whole plane |
| title_full | Separability of the third-order differential operator given on the whole plane |
| title_fullStr | Separability of the third-order differential operator given on the whole plane |
| title_full_unstemmed | Separability of the third-order differential operator given on the whole plane |
| title_short | Separability of the third-order differential operator given on the whole plane |
| title_sort | separability of the third order differential operator given on the whole plane |
| topic | resolvent third-order differential operator separability |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/485 |
| work_keys_str_mv | AT aosuleimbekova separabilityofthethirdorderdifferentialoperatorgivenonthewholeplane |