Positive solutions for even-order multi-point boundary value problems on time scales

Abstract

Abstract. In this paper, we consider the nonlinear even-order m-point boundary value problems on time scales. We establish the criteria for the existence of at least one and three positive solutions for higher order nonlinear m-point boundary value problems on time scales by using Krasnosel'skii's fixed point theorem and Leggett-Williams' fixed point theorem, respectively.

Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line

“…In the last few years boundary value problems for impulsive differential equations and impulsive differences equations have received much attention ( [2, 9, 16, 17, 22-25, 27-30, 32]). On the other hand, recently the theory of dynamic equations on time scales has become a new important branch [1,6,7,14,18,20,33].…”