Three positive solutions for p-Laplacian functional dynamic equations on time scales

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dc.contributor.authorWang, Da-Bin
dc.date.accessioned2021-08-13T15:39:16Z
dc.date.available2021-08-13T15:39:16Z
dc.date.issued2007-06-29
dc.description.abstractIn this paper, we establish the existence of three positive solutions to the following p-Laplacian functional dynamic equation on time scales, [Φp(uΔ(t))]∇ + α(t)ƒ(u(t), u(μ(t))) = 0, t ∈ (0, T)T, u0(t) = ϕ(t), t ∈ [-r, 0]T, u(0) - B0(u∆(η)) = 0, u∆(T) = 0, using the fixed-point theorem due to Avery and Peterson [8]. An example is given to illustrate the main result.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, D. B. (2007). Three positive solutions for p-Laplacian functional dynamic equations on time scales. Electronic Journal of Differential Equations, 2007(95), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14311
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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectTime scale
dc.subjectp-Laplacian functional dynamic equation
dc.subjectBoundary value problem
dc.subjectPositive solution
dc.subjectFixed point
dc.titleThree positive solutions for p-Laplacian functional dynamic equations on time scales
dc.typeArticle

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