A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem
We study a priori estimate, existence, and uniqueness of solutions with symmetric derivatives for a third-order boundary value problem. The main tool in the proof of our existence result is Leray-Schauder continuation principle. Two examples are included to illustrate the applicability of the resul...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2025-01-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://gc.vgtu.lt/index.php/MMA/article/view/21412 |
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| author | Sergey Smirnov |
| author_facet | Sergey Smirnov |
| author_sort | Sergey Smirnov |
| collection | DOAJ |
| description |
We study a priori estimate, existence, and uniqueness of solutions with symmetric derivatives for a third-order boundary value problem. The main tool in the proof of our existence result is Leray-Schauder continuation principle. Two examples are included to illustrate the applicability of the results.
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| format | Article |
| id | doaj-art-455a85643ca84fa19b8fefdd83bb649b |
| institution | Kabale University |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-455a85643ca84fa19b8fefdd83bb649b2025-01-27T16:30:17ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102025-01-0130110.3846/mma.2025.21412A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problemSergey Smirnov0Institute of Mathematics and Computer Science, University of Latvia, Riga, Latvia; Faculty of Science and Technology, University of Latvia, Riga, Latvia We study a priori estimate, existence, and uniqueness of solutions with symmetric derivatives for a third-order boundary value problem. The main tool in the proof of our existence result is Leray-Schauder continuation principle. Two examples are included to illustrate the applicability of the results. https://gc.vgtu.lt/index.php/MMA/article/view/21412nonlinear boundary value problemsa priori estimate of solutionsexistence of solutionsuniqueness of solutionLeray-Schauder continuation principle |
| spellingShingle | Sergey Smirnov A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem Mathematical Modelling and Analysis nonlinear boundary value problems a priori estimate of solutions existence of solutions uniqueness of solution Leray-Schauder continuation principle |
| title | A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem |
| title_full | A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem |
| title_fullStr | A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem |
| title_full_unstemmed | A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem |
| title_short | A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem |
| title_sort | priori estimate and existence of solutions with symmetric derivatives for a third order two point boundary value problem |
| topic | nonlinear boundary value problems a priori estimate of solutions existence of solutions uniqueness of solution Leray-Schauder continuation principle |
| url | https://gc.vgtu.lt/index.php/MMA/article/view/21412 |
| work_keys_str_mv | AT sergeysmirnov aprioriestimateandexistenceofsolutionswithsymmetricderivativesforathirdordertwopointboundaryvalueproblem AT sergeysmirnov prioriestimateandexistenceofsolutionswithsymmetricderivativesforathirdordertwopointboundaryvalueproblem |