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

Date

2007-06-29

Authors

Wang, Da-Bin

Journal Title

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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. <i>Electronic Journal of Differential Equations, 2007</i>(95), pp. 1-9.

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Attribution 4.0 International

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