A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator

A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator

The first boundary value problem was considered for the second order loaded differential equation of mixed elliptic-hyperbolic type in a rectangular region. The local and nonlocal problems for the loaded partial differential equations of the individual and mixed types have been previously studied in...

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Main Author: O. A. Arhipova
Format: Article
Language:English
Published: Samara State Technical University 2013-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1153
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spelling doaj-a8be8863176d42fb848686dfd8bf61072020-11-25T02:45:31ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-03-011(30)374510.14498/vsgtu1153 A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operatorO. A. ArhipovaThe first boundary value problem was considered for the second order loaded differential equation of mixed elliptic-hyperbolic type in a rectangular region. The local and nonlocal problems for the loaded partial differential equations of the individual and mixed types have been previously studied in areas where the hyperbolic part is the characteristic triangle. In this work, in contrast to the well-known ones, necessary and sufficient conditions of the uniqueness of this problem solution were found by the method of spectral analysis.http://mi.mathnet.ru/eng/vsgtu1153
collection DOAJ
language English
format Article
sources DOAJ
author O. A. Arhipova
spellingShingle O. A. Arhipova
A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet O. A. Arhipova
author_sort O. A. Arhipova
title A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator
title_short A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator
title_full A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator
title_fullStr A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator
title_full_unstemmed A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator
title_sort uniqueness criterion for solutions of the dirichlet problem for a loaded equation with the lavrent'ev-bitsadze operator
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-03-01
description The first boundary value problem was considered for the second order loaded differential equation of mixed elliptic-hyperbolic type in a rectangular region. The local and nonlocal problems for the loaded partial differential equations of the individual and mixed types have been previously studied in areas where the hyperbolic part is the characteristic triangle. In this work, in contrast to the well-known ones, necessary and sufficient conditions of the uniqueness of this problem solution were found by the method of spectral analysis.
url http://mi.mathnet.ru/eng/vsgtu1153
work_keys_str_mv AT oaarhipova auniquenesscriterionforsolutionsofthedirichletproblemforaloadedequationwiththelavrentevbitsadzeoperator
AT oaarhipova uniquenesscriterionforsolutionsofthedirichletproblemforaloadedequationwiththelavrentevbitsadzeoperator
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