Positive solutions of singular fourth-order boundary-value problems
| dc.contributor.author | Cui, Yujun | |
| dc.contributor.author | Zou, Yumei | |
| dc.date.accessioned | 2021-07-16T13:14:39Z | |
| dc.date.available | 2021-07-16T13:14:39Z | |
| dc.date.issued | 2006-03-21 | |
| dc.description.abstract | In this paper, we present necessary and sufficient conditions for the existence of positive C3 [0, 1] ∩C4 (0, 1) solutions for the singular boundary-value problem x′′′′(t) = p(t)ƒ(x(t)), t ∈ (0, 1); x(0) = x(1) = x′(0) = x′(1) = 0, where ƒ(x) is either superlinear or sublinear, p : (0, 1) → [0, +∞) may be singular at both ends t = 0 and t = 1. For this goal, we use fixed-point index results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Cui, Y., & Zou, Y. (2006). Positive solutions of singular fourth-order boundary-value problems. <i>Electronic Journal of Differential Equations, 2006</i>(39), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13912 | |
| 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Singular boundary value problem | |
| dc.subject | Fixed point theorem | |
| dc.subject | Positive solution | |
| dc.title | Positive solutions of singular fourth-order boundary-value problems | |
| dc.type | Article |