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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2013-12-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/34692/23043 |
| _version_ | 1818059951278391296 |
|---|---|
| author | Olga Anatolievna Arhipova |
| author_facet | Olga Anatolievna Arhipova |
| author_sort | Olga Anatolievna Arhipova |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-10T13:24:41Z |
| format | Article |
| id | doaj.art-a8be8863176d42fb848686dfd8bf6107 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:24:41Z |
| publishDate | 2013-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-a8be8863176d42fb848686dfd8bf61072022-12-22T01:47:13ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-01171374510.14498/vsgtu115331205A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operatorOlga Anatolievna Arhipova0Samara State University of Architecture and ConstructionThe 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.https://journals.eco-vector.com/1991-8615/article/viewFile/34692/23043loaded equation of mixed typedirichlet problemspectral methodcriterion of uniqueness |
| spellingShingle | Olga Anatolievna 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 loaded equation of mixed type dirichlet problem spectral method criterion of uniqueness |
| title | 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_short | 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 |
| topic | loaded equation of mixed type dirichlet problem spectral method criterion of uniqueness |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/34692/23043 |
| work_keys_str_mv | AT olgaanatolievnaarhipova auniquenesscriterionforsolutionsofthedirichletproblemforaloadedequationwiththelavrentevbitsadzeoperator AT olgaanatolievnaarhipova uniquenesscriterionforsolutionsofthedirichletproblemforaloadedequationwiththelavrentevbitsadzeoperator |