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 homogeneou...
| Main Authors: | , |
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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 |
| Online Access: | https://mathematics-vestnik.ksu.kz/apart/2023-111-3/10.pdf |
| _version_ | 1797636614212550656 |
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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. |
| first_indexed | 2024-03-11T12:36:33Z |
| format | Article |
| id | doaj.art-59da835ff3fb4f6b802607a9824dcc40 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-11T12:36:33Z |
| publishDate | 2023-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-59da835ff3fb4f6b802607a9824dcc402023-11-05T16:09:12ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-09-01111310912110.31489/2023M3/109-121Bounded 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.https://mathematics-vestnik.ksu.kz/apart/2023-111-3/10.pdf |
| 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 |
| 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 |
| url | https://mathematics-vestnik.ksu.kz/apart/2023-111-3/10.pdf |
| work_keys_str_mv | AT zhasartabanov boundedonthesemiaxismultiperiodicsolutionofalinearfinitehereditarityintegrodifferentialequationofparabolictype AT gmaitenova boundedonthesemiaxismultiperiodicsolutionofalinearfinitehereditarityintegrodifferentialequationofparabolictype |