Spectral Properties of a Conformable Boundary Value Problem on Time Scales

Abstract

We study a self-adjoint conformable dynamic equation of second order on an arbitrary time scale T. We state an existence and uniqueness theorem for the solutions of this equation. We prove the conformable Lagrange identity on time scales. Then, we consider a conformable eigenvalue problem generated by the above-mentioned dynamic equation of second order and we examine some of the spectral properties of this boundary value problem.