TRIPLE POSITIVE SOLUTIONS FOR m-POINT BOUNDARY-VALUE PROBLEMS OF DYNAMIC EQUATIONS ON TIME SCALES WITH p-LAPLACIAN
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Date
2015
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TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA
Abstract
In this article we study the existence of positive solutions for m-point dynamic equation on time scales with p-Laplacian. We prove that the boundary-value problem has at least three positive solutions by applying the five functionals fixed-point theorem. An example demonstrates the main results.
Description
The author would like to thank the anonymous referees and editor for their helpful comments and suggestions. The project is supported by Abdullah Gul University Foundation of Turkey.
Keywords
Time scales, boundary value problem, p-Laplacian, positive solutions, five functionals fixed-point theorem