Multiple positive solutions for the system of higher order two-point boundary value problems on time scales

In this paper, we establish the existence of at least three positive solutions for the system of higher order boundary value problems on time scales by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2k-1 positive solutions for arbitrary positive integer k

Existence of Heteroclinic Solutions to Fourth Order Φ−Laplacian Dynamical Equations

In this paper, we derive sufficient conditions for the existence of heteroclinic solutions to fourth order Φ−Laplacian dynamical equation on infinite time scales by using variational approach as minimizers of an action functional on special functional space. And also, as an application we demonstrate our result with an example