Existence, multiplicity and infinite solvability of positive solutions for p-Laplacian dynamic equations on time scales
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Date
2006-08-22
Authors
Wang, Da-Bin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In 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.
Description
Keywords
Time scales, p-Laplacian, Boundary value problem, Positive solution, Existence, Multiplicity, Infinite solvability
Citation
Wang, 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.