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Received November 29, 2017; Accepted April 19, 2018; Published May 15, 2018
Abstract. In this paper, we study a three-point boundary value problem for p-Laplacian dynamic equations on time scales. By using the Avery and Peterson fixed point theorem, we prove the existence at least three positive solutions of the boundary value problem. The interesting point is that the non-linear term f involves a first-order derivative explicitly. An example is also given to illustrate our results.
How to Cite this Article:
Abdulkadir Dogan, Three positive solutions of a three-point boundary value problem for the p-Laplacian dynamic equation on time scales, Communications in Optimization Theory, Vol. 2018 (2018), Article ID 13, pp. 1-13.