Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution
In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corres...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/7516324 |
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| _version_ | 1832564165395349504 |
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| author | Fatma Aydin Akgun |
| author_facet | Fatma Aydin Akgun |
| author_sort | Fatma Aydin Akgun |
| collection | DOAJ |
| description | In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corresponding to the usual nodal properties near bifurcation intervals. |
| format | Article |
| id | doaj-art-fc8b94ba37dc4d91be165d2d46395c71 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-fc8b94ba37dc4d91be165d2d46395c712025-02-03T01:11:41ZengWileyInternational Journal of Differential Equations1687-96512021-01-01202110.1155/2021/7516324Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ SolutionFatma Aydin Akgun0Yildiz Technical UniversityIn this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corresponding to the usual nodal properties near bifurcation intervals.http://dx.doi.org/10.1155/2021/7516324 |
| spellingShingle | Fatma Aydin Akgun Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution International Journal of Differential Equations |
| title | Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution |
| title_full | Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution |
| title_fullStr | Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution |
| title_full_unstemmed | Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution |
| title_short | Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution |
| title_sort | global bifurcation of fourth order nonlinear eigenvalue problems solution |
| url | http://dx.doi.org/10.1155/2021/7516324 |
| work_keys_str_mv | AT fatmaaydinakgun globalbifurcationoffourthordernonlineareigenvalueproblemssolution |