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dc.contributor.authorFeng, Hanying ( )
dc.contributor.authorFeng, Meiqiang ( Orcid Icon 0000-0002-5669-0851 )
dc.contributor.authorJiang, Ming ( )
dc.contributor.authorGe, Weigao ( )
dc.identifier.citationFeng, H., Feng, M., Jiang, M., Ge, W. (2007). Multiple positive solutions for fourth-order three-point p-Laplacian boundary-value problems. Electronic Journal of Differential Equations, 2007(23), pp. 1-10.en_US

In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation

p(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),
p(u″(0))′ = α1p(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.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectFourth-order boundary-value problemen_US
dc.subjectOne-dimensional p-Laplacianen_US
dc.subjectFive functional fixed point theoremen_US
dc.subjectPositive solutionen_US
dc.titleMultiple positive solutions for fourth-order three-point p-Laplacian boundary-value problemsen_US
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.



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