Existence of positive solutions for a system of fourth-order differential equations
Abstract In this paper, we study a system of fourth-order differential equations with integral boundary conditions and two parameters. By using the Guo–Krasnoselskii fixed point theorem on a cone and some properties of Green’s function we obtain the existence of positive solutions for the system of...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-025-03332-4 |
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| _version_ | 1849767374272593920 |
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| author | Hailong Ma Hongyu Li |
| author_facet | Hailong Ma Hongyu Li |
| author_sort | Hailong Ma |
| collection | DOAJ |
| description | Abstract In this paper, we study a system of fourth-order differential equations with integral boundary conditions and two parameters. By using the Guo–Krasnoselskii fixed point theorem on a cone and some properties of Green’s function we obtain the existence of positive solutions for the system of fourth-order differential equations and provide two examples to verify our main results. |
| format | Article |
| id | doaj-art-570bfa0d841b48d3a636403783139e6d |
| institution | DOAJ |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-570bfa0d841b48d3a636403783139e6d2025-08-20T03:04:15ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-07-012025111810.1186/s13660-025-03332-4Existence of positive solutions for a system of fourth-order differential equationsHailong Ma0Hongyu Li1College of Mathematics and Systems Science, Shandong University of Science and TechnologyCollege of Mathematics and Systems Science, Shandong University of Science and TechnologyAbstract In this paper, we study a system of fourth-order differential equations with integral boundary conditions and two parameters. By using the Guo–Krasnoselskii fixed point theorem on a cone and some properties of Green’s function we obtain the existence of positive solutions for the system of fourth-order differential equations and provide two examples to verify our main results.https://doi.org/10.1186/s13660-025-03332-4Fourth-order differential equationsPositive solutionFixed point theorem |
| spellingShingle | Hailong Ma Hongyu Li Existence of positive solutions for a system of fourth-order differential equations Journal of Inequalities and Applications Fourth-order differential equations Positive solution Fixed point theorem |
| title | Existence of positive solutions for a system of fourth-order differential equations |
| title_full | Existence of positive solutions for a system of fourth-order differential equations |
| title_fullStr | Existence of positive solutions for a system of fourth-order differential equations |
| title_full_unstemmed | Existence of positive solutions for a system of fourth-order differential equations |
| title_short | Existence of positive solutions for a system of fourth-order differential equations |
| title_sort | existence of positive solutions for a system of fourth order differential equations |
| topic | Fourth-order differential equations Positive solution Fixed point theorem |
| url | https://doi.org/10.1186/s13660-025-03332-4 |
| work_keys_str_mv | AT hailongma existenceofpositivesolutionsforasystemoffourthorderdifferentialequations AT hongyuli existenceofpositivesolutionsforasystemoffourthorderdifferentialequations |