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.

Bibliographic Details
Main Author: Natali D Golubeva
Format: Article
Language:English
Published: Samara State Technical University 2011-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
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.
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issn 1991-8615
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language English
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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