Existence of solutions to a third-order multi-point problem on time scales
We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed poin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2007-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/107/abstr.html |
| _version_ | 1819327120209346560 |
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| author | Joan Hoffacker Douglas R. Anderson |
| author_facet | Joan Hoffacker Douglas R. Anderson |
| author_sort | Joan Hoffacker |
| collection | DOAJ |
| description | We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed point theorem. Moreover, a third-order multi-point eigenvalue problem is formulated, and eigenvalue intervals for the existence of a positive solution are found. |
| first_indexed | 2024-12-24T13:05:47Z |
| format | Article |
| id | doaj.art-8a84b49e36a9414ea057de9887f1daf3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-24T13:05:47Z |
| publishDate | 2007-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-8a84b49e36a9414ea057de9887f1daf32022-12-21T16:54:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-08-012007107115Existence of solutions to a third-order multi-point problem on time scalesJoan HoffackerDouglas R. AndersonWe are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed point theorem. Moreover, a third-order multi-point eigenvalue problem is formulated, and eigenvalue intervals for the existence of a positive solution are found.http://ejde.math.txstate.edu/Volumes/2007/107/abstr.htmlBoundary value problemtime scalethird orderGreen function |
| spellingShingle | Joan Hoffacker Douglas R. Anderson Existence of solutions to a third-order multi-point problem on time scales Electronic Journal of Differential Equations Boundary value problem time scale third order Green function |
| title | Existence of solutions to a third-order multi-point problem on time scales |
| title_full | Existence of solutions to a third-order multi-point problem on time scales |
| title_fullStr | Existence of solutions to a third-order multi-point problem on time scales |
| title_full_unstemmed | Existence of solutions to a third-order multi-point problem on time scales |
| title_short | Existence of solutions to a third-order multi-point problem on time scales |
| title_sort | existence of solutions to a third order multi point problem on time scales |
| topic | Boundary value problem time scale third order Green function |
| url | http://ejde.math.txstate.edu/Volumes/2007/107/abstr.html |
| work_keys_str_mv | AT joanhoffacker existenceofsolutionstoathirdordermultipointproblemontimescales AT douglasranderson existenceofsolutionstoathirdordermultipointproblemontimescales |