On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution
In this paper, a multipoint boundary value problem for systems of integro-differential equations with involution has been studied. To solve the studied problem, the parameterization method is used. Based on the parametrization method, the studied problem is decomposed into two parts, i.e., into the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/8/1626 |
| _version_ | 1797407758726725632 |
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| author | Kairat I. Usmanov Batirkhan Kh. Turmetov Kulzina Zh. Nazarova |
| author_facet | Kairat I. Usmanov Batirkhan Kh. Turmetov Kulzina Zh. Nazarova |
| author_sort | Kairat I. Usmanov |
| collection | DOAJ |
| description | In this paper, a multipoint boundary value problem for systems of integro-differential equations with involution has been studied. To solve the studied problem, the parameterization method is used. Based on the parametrization method, the studied problem is decomposed into two parts, i.e., into the Cauchy problem and a system of linear equations. Necessary and sufficient conditions for the unique solvability of the studied problem are determined. |
| first_indexed | 2024-03-09T03:46:17Z |
| format | Article |
| id | doaj.art-4024b95f54e044a1aa99890f30d3bb36 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T03:46:17Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4024b95f54e044a1aa99890f30d3bb362023-12-03T14:33:14ZengMDPI AGSymmetry2073-89942022-08-01148162610.3390/sym14081626On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with InvolutionKairat I. Usmanov0Batirkhan Kh. Turmetov1Kulzina Zh. Nazarova2Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanDepartment of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanDepartment of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanIn this paper, a multipoint boundary value problem for systems of integro-differential equations with involution has been studied. To solve the studied problem, the parameterization method is used. Based on the parametrization method, the studied problem is decomposed into two parts, i.e., into the Cauchy problem and a system of linear equations. Necessary and sufficient conditions for the unique solvability of the studied problem are determined.https://www.mdpi.com/2073-8994/14/8/1626multipoint boundary value problemintegro-differential equationsinvolutionparametrization methodloaded equations |
| spellingShingle | Kairat I. Usmanov Batirkhan Kh. Turmetov Kulzina Zh. Nazarova On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution Symmetry multipoint boundary value problem integro-differential equations involution parametrization method loaded equations |
| title | On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution |
| title_full | On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution |
| title_fullStr | On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution |
| title_full_unstemmed | On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution |
| title_short | On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution |
| title_sort | on unique solvability of a multipoint boundary value problem for systems of integro differential equations with involution |
| topic | multipoint boundary value problem integro-differential equations involution parametrization method loaded equations |
| url | https://www.mdpi.com/2073-8994/14/8/1626 |
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