Three positive solutions for p-Laplacian functional dynamic equations on time scales
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Date
2007-06-29
Authors
Wang, Da-Bin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In 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.
Description
Keywords
Time scale, p-Laplacian functional dynamic equation, Boundary value problem, Positive solution, Fixed point
Citation
Wang, 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.
Rights
Attribution 4.0 International