Positive solutions for systems of m‐point nonlinear boundary value problems
Positive solutions (u(t), v(t)) are sought for the nonlocal (m‐point) nonlinear system of boundary value problems, u” + λa(t)f(v) = 0, v” + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = 0, u(1) = . An application of a Guo‐Krasnosel'skii fixed point theorem yields sufficient values...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2008-09-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/7021 |
| _version_ | 1818892802150367232 |
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| author | Johnny Henderson Sotiris K. Ntouyas Ioannis K. Purnaras |
| author_facet | Johnny Henderson Sotiris K. Ntouyas Ioannis K. Purnaras |
| author_sort | Johnny Henderson |
| collection | DOAJ |
| description | Positive solutions (u(t), v(t)) are sought for the nonlocal (m‐point) nonlinear system of boundary value problems, u” + λa(t)f(v) = 0, v” + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = 0, u(1) = . An application of a Guo‐Krasnosel'skii fixed point theorem yields sufficient values of λ for which such positive solutions exist.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-19T18:02:29Z |
| format | Article |
| id | doaj.art-54b1b9575a2a499fbcb9d886bc2a90fb |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T18:02:29Z |
| publishDate | 2008-09-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-54b1b9575a2a499fbcb9d886bc2a90fb2022-12-21T20:11:34ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102008-09-0113310.3846/1392-6292.2008.13.357-370Positive solutions for systems of m‐point nonlinear boundary value problemsJohnny Henderson0Sotiris K. Ntouyas1Ioannis K. Purnaras2Baylor University, Department of Mathematics, Waco, Texas, 76798-7328 USAUniversity of Ioannina, Department of Mathematics, 451 10 Ioannina, GreeceUniversity of Ioannina, Department of Mathematics, 451 10 Ioannina, GreecePositive solutions (u(t), v(t)) are sought for the nonlocal (m‐point) nonlinear system of boundary value problems, u” + λa(t)f(v) = 0, v” + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = 0, u(1) = . An application of a Guo‐Krasnosel'skii fixed point theorem yields sufficient values of λ for which such positive solutions exist. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/7021nonlocal (m-point) boundary value problemsystem of differential equationseigenvalue problempositive solutions |
| spellingShingle | Johnny Henderson Sotiris K. Ntouyas Ioannis K. Purnaras Positive solutions for systems of m‐point nonlinear boundary value problems Mathematical Modelling and Analysis nonlocal (m-point) boundary value problem system of differential equations eigenvalue problem positive solutions |
| title | Positive solutions for systems of m‐point nonlinear boundary value problems |
| title_full | Positive solutions for systems of m‐point nonlinear boundary value problems |
| title_fullStr | Positive solutions for systems of m‐point nonlinear boundary value problems |
| title_full_unstemmed | Positive solutions for systems of m‐point nonlinear boundary value problems |
| title_short | Positive solutions for systems of m‐point nonlinear boundary value problems |
| title_sort | positive solutions for systems of m point nonlinear boundary value problems |
| topic | nonlocal (m-point) boundary value problem system of differential equations eigenvalue problem positive solutions |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/7021 |
| work_keys_str_mv | AT johnnyhenderson positivesolutionsforsystemsofmpointnonlinearboundaryvalueproblems AT sotiriskntouyas positivesolutionsforsystemsofmpointnonlinearboundaryvalueproblems AT ioanniskpurnaras positivesolutionsforsystemsofmpointnonlinearboundaryvalueproblems |