Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales

Abstract

In this paper, by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively, we investigate the conditions for the existence of at least one, two and three positive solutions to nonlinear higher order three-point boundary value problems on time scales.

Existence of positive solutions for multi-point time scale boundary value problems on infinite intervals

“…Much of theory of time scale dynamic equations on finite intervals have been presented in [5,7,13,14,15,16,17,20,21,18,19,22,23] and references therein. However, there is significantly less literature available on the basic theory of time scale dynamic equations on infinite intervals.…”