Existence of positive solutions for even-order $m$-point boundary-value problems on time scales

Abstract

In this article, we consider a nonlinear even-order m-point boundary-value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point boundary-value problems on time scales by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively.

Keywords

• Boundary value problems
• cone
• fixed point theorems
• positive solutions
• time scales