Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order
Nonlinear eigenvalue problems are investigated for ordinary differential equations of fourth order. Local and global bifurcations of nontrivial solutions of these problems are investigated. It is shown that the set of nontrivial solutions of the problems under consideration that bifurcate from point...
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| Veröffentlicht in: | Sbornik. Mathematics 2016-01, Vol.207 (12), p.1625-1649 |
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| container_title | Sbornik. Mathematics |
| container_volume | 207 |
| creator | Aliyev, Z. S. |
| description | Nonlinear eigenvalue problems are investigated for ordinary differential equations of fourth order. Local and global bifurcations of nontrivial solutions of these problems are investigated. It is shown that the set of nontrivial solutions of the problems under consideration that bifurcate from points and intervals of the line of trivial solutions contains unbounded continua. Bibliography: 42 titles. |
| doi_str_mv | 10.1070/SM8369 |
| format | Article |
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S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c283t-e7b3cd2ed9bec47d643ccd4033d242761d1a0e4d1f9099b29435250cc948329b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>bifurcation interval</topic><topic>bifurcation point</topic><topic>Bifurcations</topic><topic>continuum of solutions</topic><topic>Differential equations</topic><topic>eigenfunction</topic><topic>eigenvalue</topic><topic>Eigenvalues</topic><topic>Intervals</topic><topic>Mathematical analysis</topic><topic>Nonlinearity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aliyev, Z. 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| identifier | ISSN: 1064-5616 |
| ispartof | Sbornik. Mathematics, 2016-01, Vol.207 (12), p.1625-1649 |
| issn | 1064-5616 1468-4802 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1884131722 |
| source | IOP Publishing Journals; Alma/SFX Local Collection |
| subjects | bifurcation interval bifurcation point Bifurcations continuum of solutions Differential equations eigenfunction eigenvalue Eigenvalues Intervals Mathematical analysis Nonlinearity |
| title | Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order |
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