SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES

Authors : Zeki CEYLAN

Pages : 73-80

Doi:10.33773/jum.695777

View : 21 | Download : 9

Publication Date : 2021-01-31

Article Type : Research Paper

Abstract :We study a self-adjoint conformable dynamic equation of second order on an arbitrary time scale $\mathbb{T}$. 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.
Keywords : Time scales, Conformable derivative