Existence, multiplicity and infinite solvability of positive solutions for p-Laplacian dynamic equations on time scales

Date

2006-08-22

Authors

Wang, Da-Bin

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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.

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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.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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