Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations
The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel'skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Di...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11037 |
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| _version_ | 1846091037784670208 |
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| author | Aleksejs Antoņuks Sergey Smirnov |
| author_facet | Aleksejs Antoņuks Sergey Smirnov |
| author_sort | Aleksejs Antoņuks |
| collection | DOAJ |
| description | The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel'skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically. |
| format | Article |
| id | doaj-art-bc32c08e3da24425885e09dc2ea80f6b |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-bc32c08e3da24425885e09dc2ea80f6b2025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-08-0120244111710.14232/ejqtde.2024.1.4111037Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equationsAleksejs Antoņuks0https://orcid.org/0009-0007-0795-640XSergey SmirnovFaculty of Physics, Mathematics and Optometry, University of Latvia, Riga, LatviaThe aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel'skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11037boundary value problemsystem of second-order odesinterval of the existence of solutionspositive solutionskrasnosel'skiĭ–precup fixed point theorem. |
| spellingShingle | Aleksejs Antoņuks Sergey Smirnov Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations Electronic Journal of Qualitative Theory of Differential Equations boundary value problem system of second-order odes interval of the existence of solutions positive solutions krasnosel'skiĭ–precup fixed point theorem. |
| title | Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations |
| title_full | Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations |
| title_fullStr | Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations |
| title_full_unstemmed | Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations |
| title_short | Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations |
| title_sort | interval of the existence of positive solutions for a boundary value problem for system of three second order differential equations |
| topic | boundary value problem system of second-order odes interval of the existence of solutions positive solutions krasnosel'skiĭ–precup fixed point theorem. |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11037 |
| work_keys_str_mv | AT aleksejsantonuks intervaloftheexistenceofpositivesolutionsforaboundaryvalueproblemforsystemofthreesecondorderdifferentialequations AT sergeysmirnov intervaloftheexistenceofpositivesolutionsforaboundaryvalueproblemforsystemofthreesecondorderdifferentialequations |