Mixed problem with integral condition for the hyperbolic equation
In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.
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Format: | Article |
Language: | English |
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Samara State Technical University
2011-12-01
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Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20972/17231 |
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author | Natali D Golubeva |
author_facet | Natali D Golubeva |
author_sort | Natali D Golubeva |
collection | DOAJ |
description | In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method. |
first_indexed | 2024-12-10T13:23:37Z |
format | Article |
id | doaj.art-9923149517214316b96d30e863243ade |
institution | Directory Open Access Journal |
issn | 1991-8615 2310-7081 |
language | English |
last_indexed | 2024-12-10T13:23:37Z |
publishDate | 2011-12-01 |
publisher | Samara State Technical University |
record_format | Article |
series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
spelling | doaj.art-9923149517214316b96d30e863243ade2022-12-22T01:47:15ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-12-0115415415918389Mixed problem with integral condition for the hyperbolic equationNatali D Golubeva0Samara State Technical UniversityIn this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.https://journals.eco-vector.com/1991-8615/article/viewFile/20972/17231nonlocal problemintegral conditiona priori estimates |
spellingShingle | Natali D Golubeva Mixed problem with integral condition for the hyperbolic equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki nonlocal problem integral condition a priori estimates |
title | Mixed problem with integral condition for the hyperbolic equation |
title_full | Mixed problem with integral condition for the hyperbolic equation |
title_fullStr | Mixed problem with integral condition for the hyperbolic equation |
title_full_unstemmed | Mixed problem with integral condition for the hyperbolic equation |
title_short | Mixed problem with integral condition for the hyperbolic equation |
title_sort | mixed problem with integral condition for the hyperbolic equation |
topic | nonlocal problem integral condition a priori estimates |
url | https://journals.eco-vector.com/1991-8615/article/viewFile/20972/17231 |
work_keys_str_mv | AT natalidgolubeva mixedproblemwithintegralconditionforthehyperbolicequation |