Existence of solutions to a third-order multi-point problem on time scales
| dc.contributor.author | Anderson, Douglas R. | |
| dc.contributor.author | Hoffacker, Joan | |
| dc.date.accessioned | 2021-08-13T20:12:29Z | |
| dc.date.available | 2021-08-13T20:12:29Z | |
| dc.date.issued | 2007-08-07 | |
| dc.description.abstract | 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Anderson, D. R., & Hoffacker, J. (2007). Existence of solutions to a third-order multi-point problem on time scales. <i>Electronic Journal of Differential Equations, 2007</i>(107), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14323 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Boundary value problem | |
| dc.subject | Time scale | |
| dc.subject | Third order | |
| dc.subject | Green function | |
| dc.title | Existence of solutions to a third-order multi-point problem on time scales | |
| dc.type | Article |