Existence of Positive Solutions for Nonlinear Third-Order $m$-Point Boundary Value Problems on Time Scales

Ilkay Yaslan Karaca, Fatma Tokmak

In this paper, we investigate the existence of double positive solutions for nonlinear third-order $m$-point boundary value problems with $p$-Laplacian on time scales. By using double fixed point theorem, we establish results on the existence of two positive solutions with suitable growth conditions imposed on the nonlinear term. As an application, we give an example to demonstrate our main result.