Two and three positive solutions of m-point boundary value problems for functional dynamic equations on time scales

Abstract

In this paper, by using fixed point theorems in a cone, we study the existence of at least two and three positive solutions of a nonlinear second-order m-point boundary value problem for functional dynamic equations on time scales. As an application, we also give an example to demonstrate our results.

Keywords:

• positive solutions; fixed-point theorems; m-point boundary value problem; time scale; functional dynamic equation

2000 Mathematics Subject Classification::

• 34B10
• 39A10
• 34B18