Positive solutions for semipositone fourth-order two-point boundary value problems
| dc.contributor.author | Yang, Dandan ( ) | |
| dc.contributor.author | Zhu, Hongbo ( ) | |
| dc.contributor.author | Bai, Chuanzhi (  0000-0002-4831-3511 ) | |
| dc.date.accessioned | 2021-08-02T21:08:57Z | |
| dc.date.available | 2021-08-02T21:08:57Z | |
| dc.date.issued | 2007-01-23 | |
| dc.identifier.citation | Yang, D., Zhu, H., & Bai, C. (2007). Positive solutions for semipositone fourth-order two-point boundary value problems. Electronic Journal of Differential Equations, 2007(16), pp. 1-8. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/14166 | |
| dc.description.abstract | In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative. u(4)(t) = ƒ(t, u(t), u″(t)), 0 ≤ t ≤ 1, u′(1) = u″(1) = u‴(1) = 0, ku(0) = u‴(0), where -6 < k < 0, ƒ ≥ -M, and M is a positive constant. Our approach relies on the Krasnosel'skii fixed point theorem. | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
| 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 | en_US |
| dc.subject | Positive solution | en_US |
| dc.subject | Semipositone | en_US |
| dc.subject | Fixed point | en_US |
| dc.title | Positive solutions for semipositone fourth-order two-point boundary value problems | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
