Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities
| dc.contributor.author | Tian, Yu | |
| dc.contributor.author | Ge, Weigao | |
| dc.date.accessioned | 2021-05-17T17:06:12Z | |
| dc.date.available | 2021-05-17T17:06:12Z | |
| dc.date.issued | 2004-12-03 | |
| dc.description.abstract | A new fixed point theorem on double cones is applied to obtain the existence of at least two positive solutions to (Φp(y''(t))'' - ɑ(t)ƒ (t, y(t), y''(t)) = 0, 0 < t < 1, y(0) = y(1) = 0 = y''(0) = y''(1), where ƒ : [0, 1] x [0, ∞) x (-∞, 0] → R, ɑ ∈ L<sup>1</sup> ([0, 1], (0, ∞)). We also give some examples to illustrate our results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tian, Y., & Ge, W. (2004). Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities. Electronic Journal of Differential Equations, 2004(143), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13564 | |
| 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, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Fourth-order two-point boundary-value problem | |
| dc.subject | Fixed point theorem | |
| dc.subject | Double cones | |
| dc.subject | Positive solutions | |
| dc.title | Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities | |
| dc.type | Article |