Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations

dc.contributor.authorGalanis, George N.
dc.contributor.authorPalamides, Alex P.
dc.date.accessioned2021-06-22T14:56:08Z
dc.date.available2021-06-22T14:56:08Z
dc.date.issued2005-10-07
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGalanis, G. N., & Palamides, A. P. (2005). Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(106), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13778
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectThree-point singular boundary-value problem
dc.subjectp-Laplacian
dc.subjectPositive and negative solutions
dc.subjectVector field
dc.subjectNonlinear alternative of Leray-Schauder
dc.titlePositive solutions of three-point boundary-value problems for p-Laplacian singular differential equationsen_US
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
galanis.pdf
Size:
285.73 KB
Format:
Adobe Portable Document Format
Description:

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description: