Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations
| dc.contributor.author | Galanis, George N. | |
| dc.contributor.author | Palamides, Alex P. | |
| dc.date.accessioned | 2021-06-22T14:56:08Z | |
| dc.date.available | 2021-06-22T14:56:08Z | |
| dc.date.issued | 2005-10-07 | |
| dc.description.abstract | In this paper we prove the existence of positive solutions for the three-point singular boundary-value problem -[ϕp (u')]' = q(t) ƒ(t, u(t)), 0 < t < 1 subject to u(0) - g(u'(0)) = 0, u(1) - βu(η) = 0 or to u(0) - αu(η) = 0, u(1) + g(u'(1)) = 0, where ϕp is the p-Laplacian operator, 0 < η < 1; 0 < α, β < 1 are fixed points and g is a monotone continuous function defined on the real line ℝ with g(0) = 0 and ug(u) ≥ 0. Our approach is a combination of Nonlinear Alternative of Leray-Schauder with the properties of the associated vector field at the (u, u') plane. More precisely, we show that the solutions of the above boundary-value problem remains away from the origin for the case where the nonlinearity is sublinear and so we avoid its singularity at u = 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Galanis, G. N., & Palamides, A. P. (2005). Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations. Electronic Journal of Differential Equations, 2005(106), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13778 | |
| 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Three-point singular boundary-value problem | |
| dc.subject | p-Laplacian | |
| dc.subject | Positive and negative solutions | |
| dc.subject | Vector field | |
| dc.subject | Nonlinear alternative of Leray-Schauder | |
| dc.title | Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations | en_US |
| dc.type | Article |