The positivity of the differential operator generated by hyperbolic system of equations
In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established. The structure of interpolation spaces of this differen...
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| Format: | Article |
| Language: | English |
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EJAAM
2023-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2023/10.62780-ejaam-2023-005.pdf |
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| author | Rahat Prenov |
| author_facet | Rahat Prenov |
| author_sort | Rahat Prenov |
| collection | DOAJ |
| description | In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established. The structure of interpolation spaces of this differential operator is studied. The positivity of this space operator in Slobodeckij-Sobolev spaces is established. |
| format | Article |
| id | doaj-art-e2d4ddfcf7584c8abbca87d8eb2733ff |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-e2d4ddfcf7584c8abbca87d8eb2733ff2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902023-12-01202310.62780/ejaam/2023-005The positivity of the differential operator generated by hyperbolic system of equationsRahat Prenov0Magtymguly Turkmen State University,Ashgabat, TurkmenistanIn the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established. The structure of interpolation spaces of this differential operator is studied. The positivity of this space operator in Slobodeckij-Sobolev spaces is established.https://ejaam.org/articles/2023/10.62780-ejaam-2023-005.pdfhyperbolic system of equationsnonlocal boundary value problemsinterpolation spacespositivity of the differential operator |
| spellingShingle | Rahat Prenov The positivity of the differential operator generated by hyperbolic system of equations E-Journal of Analysis and Applied Mathematics hyperbolic system of equations nonlocal boundary value problems interpolation spaces positivity of the differential operator |
| title | The positivity of the differential operator generated by hyperbolic system of equations |
| title_full | The positivity of the differential operator generated by hyperbolic system of equations |
| title_fullStr | The positivity of the differential operator generated by hyperbolic system of equations |
| title_full_unstemmed | The positivity of the differential operator generated by hyperbolic system of equations |
| title_short | The positivity of the differential operator generated by hyperbolic system of equations |
| title_sort | positivity of the differential operator generated by hyperbolic system of equations |
| topic | hyperbolic system of equations nonlocal boundary value problems interpolation spaces positivity of the differential operator |
| url | https://ejaam.org/articles/2023/10.62780-ejaam-2023-005.pdf |
| work_keys_str_mv | AT rahatprenov thepositivityofthedifferentialoperatorgeneratedbyhyperbolicsystemofequations AT rahatprenov positivityofthedifferentialoperatorgeneratedbyhyperbolicsystemofequations |