Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$. Such a boundary value problem for a linear system of differential equations (including partia...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2017-09-01
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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/20547/16794 |
| _version_ | 1811330146740731904 |
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| author | Dmitriy V Kornienko |
| author_facet | Dmitriy V Kornienko |
| author_sort | Dmitriy V Kornienko |
| collection | DOAJ |
| description | We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$. Such a boundary value problem for a linear system of differential equations (including partial derivatives), we shall call nonlocal. The purpose of the article is to study the spectral characteristics of differential operators generated by the nonlocal task for the two linear systems of differential equations considered in a bounded region of finite-dimensional Euclidean space. |
| first_indexed | 2024-04-13T15:56:11Z |
| format | Article |
| id | doaj.art-5813ff3b605b4e6081438a9a8f7b81fa |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:56:11Z |
| publishDate | 2017-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-5813ff3b605b4e6081438a9a8f7b81fa2022-12-22T02:40:40ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812017-09-0121342343610.14498/vsgtu155817967Spectral characteristics of a nonlocal problem for two linear systems of partial differential equationsDmitriy V Kornienko0I. A. Bunin Elets State UniversityWe study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$. Such a boundary value problem for a linear system of differential equations (including partial derivatives), we shall call nonlocal. The purpose of the article is to study the spectral characteristics of differential operators generated by the nonlocal task for the two linear systems of differential equations considered in a bounded region of finite-dimensional Euclidean space.https://journals.eco-vector.com/1991-8615/article/viewFile/20547/16794boundary value problemnonlocal conditionsoperator spectrumelliptic systemssystems of differential equationsriesz basis |
| spellingShingle | Dmitriy V Kornienko Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki boundary value problem nonlocal conditions operator spectrum elliptic systems systems of differential equations riesz basis |
| title | Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations |
| title_full | Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations |
| title_fullStr | Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations |
| title_full_unstemmed | Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations |
| title_short | Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations |
| title_sort | spectral characteristics of a nonlocal problem for two linear systems of partial differential equations |
| topic | boundary value problem nonlocal conditions operator spectrum elliptic systems systems of differential equations riesz basis |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20547/16794 |
| work_keys_str_mv | AT dmitriyvkornienko spectralcharacteristicsofanonlocalproblemfortwolinearsystemsofpartialdifferentialequations |