SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES

Yıl 2021, Cilt: 4 Sayı: 1, 73 - 80, 31.01.2021

Zeki Ceylan

https://doi.org/10.33773/jum.695777

Öz

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.

Anahtar Kelimeler

Time scales, Conformable derivative

Kaynakça

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