A non-local problem with integral conditions of the first kind for the string vibration equation
The article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on the spatial variable, but also on time. The equi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara National Research University
2023-12-01
|
| Series: | Вестник Самарского университета: Естественнонаучная серия |
| Subjects: | |
| Online Access: | https://journals.ssau.ru/est/article/viewFile/26968/10148 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850270227668926464 |
|---|---|
| author | Y. S. Buntova |
| author_facet | Y. S. Buntova |
| author_sort | Y. S. Buntova |
| collection | DOAJ |
| description | The article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on the spatial variable, but also on time. The equivalence of a nonlocal problem with integral conditions of the 1st kind and a nonlocal problem with integral conditions of the 2nd kind is shown. Restrictions on the input data are obtained to ensure the uniqueness of a generalized solution to the problem posed. |
| format | Article |
| id | doaj-art-b1e3d42c033b4fa882343ecd2eec7a9a |
| institution | OA Journals |
| issn | 2541-7525 2712-8954 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Вестник Самарского университета: Естественнонаучная серия |
| spelling | doaj-art-b1e3d42c033b4fa882343ecd2eec7a9a2025-08-20T01:52:44ZengSamara National Research UniversityВестник Самарского университета: Естественнонаучная серия2541-75252712-89542023-12-0129381710.18287/2541-7525-2023-29-3-8-178777A non-local problem with integral conditions of the first kind for the string vibration equationY. S. Buntova0https://orcid.org/0009-0003-7786-8019Samara National Research UniversityThe article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on the spatial variable, but also on time. The equivalence of a nonlocal problem with integral conditions of the 1st kind and a nonlocal problem with integral conditions of the 2nd kind is shown. Restrictions on the input data are obtained to ensure the uniqueness of a generalized solution to the problem posed.https://journals.ssau.ru/est/article/viewFile/26968/10148hyperbolic equationnonlocal problemintegral conditionsgeneralized solution |
| spellingShingle | Y. S. Buntova A non-local problem with integral conditions of the first kind for the string vibration equation Вестник Самарского университета: Естественнонаучная серия hyperbolic equation nonlocal problem integral conditions generalized solution |
| title | A non-local problem with integral conditions of the first kind for the string vibration equation |
| title_full | A non-local problem with integral conditions of the first kind for the string vibration equation |
| title_fullStr | A non-local problem with integral conditions of the first kind for the string vibration equation |
| title_full_unstemmed | A non-local problem with integral conditions of the first kind for the string vibration equation |
| title_short | A non-local problem with integral conditions of the first kind for the string vibration equation |
| title_sort | non local problem with integral conditions of the first kind for the string vibration equation |
| topic | hyperbolic equation nonlocal problem integral conditions generalized solution |
| url | https://journals.ssau.ru/est/article/viewFile/26968/10148 |
| work_keys_str_mv | AT ysbuntova anonlocalproblemwithintegralconditionsofthefirstkindforthestringvibrationequation AT ysbuntova nonlocalproblemwithintegralconditionsofthefirstkindforthestringvibrationequation |