An application of a global bifurcation theorem to the existence of solutions for integral inclusions
We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''(t) in -F(t,u(t),u'(t)) quadhb...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/117/abstr.html |
| _version_ | 1818591637039742976 |
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| author | Stanislaw Domachowski |
| author_facet | Stanislaw Domachowski |
| author_sort | Stanislaw Domachowski |
| collection | DOAJ |
| description | We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''(t) in -F(t,u(t),u'(t)) quadhbox{for a.e. } tin(a,b) cr l(u) = 0. }$$ |
| first_indexed | 2024-12-16T10:15:36Z |
| format | Article |
| id | doaj.art-6ef109b63eeb471c8379472e3e4d3ae7 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-16T10:15:36Z |
| publishDate | 2008-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-6ef109b63eeb471c8379472e3e4d3ae72022-12-21T22:35:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-08-01200811719An application of a global bifurcation theorem to the existence of solutions for integral inclusionsStanislaw DomachowskiWe prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''(t) in -F(t,u(t),u'(t)) quadhbox{for a.e. } tin(a,b) cr l(u) = 0. }$$http://ejde.math.txstate.edu/Volumes/2008/117/abstr.htmlIntegral inclusiondifferential inclusionglobal bifurcationselectorsSturm-Liouville boundary conditions |
| spellingShingle | Stanislaw Domachowski An application of a global bifurcation theorem to the existence of solutions for integral inclusions Electronic Journal of Differential Equations Integral inclusion differential inclusion global bifurcation selectors Sturm-Liouville boundary conditions |
| title | An application of a global bifurcation theorem to the existence of solutions for integral inclusions |
| title_full | An application of a global bifurcation theorem to the existence of solutions for integral inclusions |
| title_fullStr | An application of a global bifurcation theorem to the existence of solutions for integral inclusions |
| title_full_unstemmed | An application of a global bifurcation theorem to the existence of solutions for integral inclusions |
| title_short | An application of a global bifurcation theorem to the existence of solutions for integral inclusions |
| title_sort | application of a global bifurcation theorem to the existence of solutions for integral inclusions |
| topic | Integral inclusion differential inclusion global bifurcation selectors Sturm-Liouville boundary conditions |
| url | http://ejde.math.txstate.edu/Volumes/2008/117/abstr.html |
| work_keys_str_mv | AT stanislawdomachowski anapplicationofaglobalbifurcationtheoremtotheexistenceofsolutionsforintegralinclusions AT stanislawdomachowski applicationofaglobalbifurcationtheoremtotheexistenceofsolutionsforintegralinclusions |