Wang, Da-Bin2021-07-202021-07-202006-08-22Wang, D. B. (2006). Existence, multiplicity and infinite solvability of positive solutions for p-Laplacian dynamic equations on time scales. <i>Electronic Journal of Differential Equations, 2006</i>(96), pp. 1-10.1072-6691https://hdl.handle.net/10877/13969In this paper, by using Guo-Krasnosel'skii fixed point theorem in cones, we study the existence, multiplicity and infinite solvability of positive solutions for the following three-point boundary value problems for p-Laplacian dynamic equations on time scales [Φp(uΔ(t))]∇ + α(t)ƒ(t, u(t)) = 0, t ∈ [0, T]T, u(0) - B0(uΔ(η)) = 0, uΔ(T) = 0. By multiplicity we mean the existence of arbitrary number of solutions.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalTime scalesp-LaplacianBoundary value problemPositive solutionExistenceMultiplicityInfinite solvabilityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.