Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions
We investigate the solvability and Ulam stability for a nonlocal nonlinear third-order integro-multi-point boundary value problem on an arbitrary domain. The nonlinearity in the third-order ordinary differential equation involves the unknown function together with its first- and second-order derivat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/2/281 |
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| author | Ahmed Alsaedi Mona Alsulami Hari M. Srivastava Bashir Ahmad Sotiris K. Ntouyas |
| author_facet | Ahmed Alsaedi Mona Alsulami Hari M. Srivastava Bashir Ahmad Sotiris K. Ntouyas |
| author_sort | Ahmed Alsaedi |
| collection | DOAJ |
| description | We investigate the solvability and Ulam stability for a nonlocal nonlinear third-order integro-multi-point boundary value problem on an arbitrary domain. The nonlinearity in the third-order ordinary differential equation involves the unknown function together with its first- and second-order derivatives. Our main results rely on the modern tools of functional analysis and are well illustrated with the aid of examples. An analogue problem involving non-separated integro-multi-point boundary conditions is also discussed. |
| first_indexed | 2024-04-11T22:16:52Z |
| format | Article |
| id | doaj.art-fe6f1ae804704bd4926e66e75e7e7d9d |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:16:52Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-fe6f1ae804704bd4926e66e75e7e7d9d2022-12-22T04:00:21ZengMDPI AGSymmetry2073-89942019-02-0111228110.3390/sym11020281sym11020281Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary ConditionsAhmed Alsaedi0Mona Alsulami1Hari M. Srivastava2Bashir Ahmad3Sotiris K. Ntouyas4Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe investigate the solvability and Ulam stability for a nonlocal nonlinear third-order integro-multi-point boundary value problem on an arbitrary domain. The nonlinearity in the third-order ordinary differential equation involves the unknown function together with its first- and second-order derivatives. Our main results rely on the modern tools of functional analysis and are well illustrated with the aid of examples. An analogue problem involving non-separated integro-multi-point boundary conditions is also discussed.https://www.mdpi.com/2073-8994/11/2/281nonlinear boundary value problemnonlocalmulti-pointmulti-stripexistenceUlam stability |
| spellingShingle | Ahmed Alsaedi Mona Alsulami Hari M. Srivastava Bashir Ahmad Sotiris K. Ntouyas Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions Symmetry nonlinear boundary value problem nonlocal multi-point multi-strip existence Ulam stability |
| title | Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions |
| title_full | Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions |
| title_fullStr | Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions |
| title_full_unstemmed | Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions |
| title_short | Existence Theory for Nonlinear Third-Order Ordinary Differential Equations with Nonlocal Multi-Point and Multi-Strip Boundary Conditions |
| title_sort | existence theory for nonlinear third order ordinary differential equations with nonlocal multi point and multi strip boundary conditions |
| topic | nonlinear boundary value problem nonlocal multi-point multi-strip existence Ulam stability |
| url | https://www.mdpi.com/2073-8994/11/2/281 |
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