Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type
The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in time variables in a linear homogeneous equati...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-09-01
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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/587 |
| _version_ | 1797372754138234880 |
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| author | Zh.A. Sartabanov G.M. Aitenova |
| author_facet | Zh.A. Sartabanov G.M. Aitenova |
| author_sort | Zh.A. Sartabanov |
| collection | DOAJ |
| description |
The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in time variables in a linear homogeneous equation with a boundary condition and in a linear inhomogeneous equation were established. A linear homogeneous and inhomogeneous finitehereditarity integro-differential equation of convective-diffusion type were investigated.
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| first_indexed | 2024-03-08T18:39:25Z |
| format | Article |
| id | doaj.art-e77ca7c424d54ccbb736defced560485 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:25Z |
| publishDate | 2023-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-e77ca7c424d54ccbb736defced5604852023-12-29T10:18:48ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-09-01111310.31489/2023m3/109-121Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic typeZh.A. SartabanovG.M. Aitenova The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in time variables in a linear homogeneous equation with a boundary condition and in a linear inhomogeneous equation were established. A linear homogeneous and inhomogeneous finitehereditarity integro-differential equation of convective-diffusion type were investigated. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/587integro-differentialfinite-hereditarityconvectiondiffusionparabolic typedifferentiation operator |
| spellingShingle | Zh.A. Sartabanov G.M. Aitenova Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type Қарағанды университетінің хабаршысы. Математика сериясы integro-differential finite-hereditarity convection diffusion parabolic type differentiation operator |
| title | Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type |
| title_full | Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type |
| title_fullStr | Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type |
| title_full_unstemmed | Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type |
| title_short | Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type |
| title_sort | bounded on the semi axis multiperiodic solution of a linear finite hereditarity integro differential equation of parabolic type |
| topic | integro-differential finite-hereditarity convection diffusion parabolic type differentiation operator |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/587 |
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