Multiple positive solutions for fourth-order three-point p-Laplacian boundary-value problems
| dc.contributor.author | Feng, Hanying | |
| dc.contributor.author | Feng, Meiqiang | |
| dc.contributor.author | Jiang, Ming | |
| dc.contributor.author | Ge, Weigao | |
| dc.date.accessioned | 2021-08-03T18:19:14Z | |
| dc.date.available | 2021-08-03T18:19:14Z | |
| dc.date.issued | 2007-02-04 | |
| dc.description.abstract | In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation (φp(u″(t)))″ + α(t)ƒ(u(t)) = 0, t ∈ (0, 1), subject to the nonlinear boundary conditions: u(0) = ξu(1), u′(1) = ηu′(0), (φp(u″(0))′ = α1(φp(u″(δ))′, u″(1) = p-1√β1u″(δ), where φp(s) = |s|p-2s, p > 1. Using the five functional fixed point theorem due to Avery, we obtain sufficient conditions for the existence of at least three positive solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Feng, H., Feng, M., Jiang, M., Ge, W. (2007). Multiple positive solutions for fourth-order three-point p-Laplacian boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(23), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14173 | |
| 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 | Fourth-order boundary-value problem | |
| dc.subject | One-dimensional p-Laplacian | |
| dc.subject | Five functional fixed point theorem | |
| dc.subject | Positive solution | |
| dc.title | Multiple positive solutions for fourth-order three-point p-Laplacian boundary-value problems | |
| dc.type | Article |