A singular third-order 3-point boundary-value problem with nonpositive Green's function
| dc.contributor.author | Palamides, Alex P. | |
| dc.contributor.author | Veloni, Anastasia | |
| dc.date.accessioned | 2021-08-18T15:42:36Z | |
| dc.date.available | 2021-08-18T15:42:36Z | |
| dc.date.issued | 2007-11-13 | |
| dc.description.abstract | We find a Green's function for the singular third-order three-point BVP u‴(t) = -α(t)ƒ(t, u(t)), u(0) = u′(1) = u″(η) = 0 where 0 ≤ η < 1/2. Then we apply the classical Krasnosel'skii's fixed point theorem for finding solutions in a cone. Although this problem Green's function is not positive, the obtained solution is still positive and increasing. Our techniques rely on a combination of a fixed point theorem and the properties of the corresponding vector field. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Palamides, A. P., & Veloni, A. N. (2007). A singular third-order 3-point boundary-value problem with nonpositive Green's function. <i>Electronic Journal of Differential Equations, 2007</i>(151), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14365 | |
| 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 | Three-point singular boundary-value problem | |
| dc.subject | Fixed point in cones | |
| dc.subject | Third-order differential equation | |
| dc.subject | Positive solution | |
| dc.subject | Green's function | |
| dc.subject | Vector field | |
| dc.title | A singular third-order 3-point boundary-value problem with nonpositive Green's function | en_US |
| dc.type | Article |