Third-order nonlocal problems with sign-changing nonlinearity on time scales
| dc.contributor.author | Anderson, Douglas R. | |
| dc.contributor.author | Tisdell, Christopher | |
| dc.date.accessioned | 2021-08-03T17:07:06Z | |
| dc.date.available | 2021-08-03T17:07:06Z | |
| dc.date.issued | 2007-01-27 | |
| dc.description.abstract | We are concerned with the existence and form of positive solutions to a nonlinear third-order three-point nonlocal boundary-value problem on general time scales. Using Green's functions, we prove the existence of at least one positive solution using the Guo-Krasnoselskii fixed point theorem. Due to the fact that the nonlinearity is allowed to change sign in our formulation, and the novelty of the boundary conditions, these results are new for discrete, continuous, quantum and arbitrary time scales. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Anderson, D. R., & Tisdell, C. C. (2007). Third-order nonlocal problems with sign-changing nonlinearity on time scales. <i>Electronic Journal of Differential Equations, 2007</i>(19), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14169 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| 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 | three-point | |
| dc.subject | green's function | |
| dc.title | Third-order nonlocal problems with sign-changing nonlinearity on time scales | |
| dc.type | Article |