An interior inverse Sturm–Liouville problem on a time scale

Conformable fractional Sturm–Liouville problems on time scales

“…This subject was introduced by Stefan Hilger. 1 Since this theory has numerous application in science, many authors have obtained a lot of results about this subject (see other studies [2][3][4][5][6][7][8][9][10][11][12][13] ). Recently, Benkhettou et al 14 defined a delta conformable derivative on time scales.…”

Determination of a differential pencil from interior spectral data on a union of two closed intervals

“…The theory of dynamic equations on closed sets was introduced in [16]. Nowadays, there are a few studies about the inverse problems of differential operators defined on time scales (see [1,2,7,19,20], [24]- [27] and [35]).…”

Eigenvalues of the Sturm-Liouville problem with a frozen argument on time scales

“…A Sturm-Liouville equation with a frozen argument on a time scale T can be given as (1) − y ∆∆ (t) + q(t)y(a) = λy σ (t), t ∈ T κ 2 where y ∆∆ and σ denote the second order ∆-derivative of y and forward jump operator on T, respectively, q(t) is a real-valued continuous function, a ∈ T κ := T\ (ρ (sup T) , sup T] , y σ (t) = y(σ(t)) and T κ 2 = (T κ ) κ . Spectral properties the classical Sturm-Liouville problem on time scales were given in various publications (see e.g.…”

“…Spectral properties the classical Sturm-Liouville problem on time scales were given in various publications (see e.g. [1], [2], [5], [6], [13]- [19], [21]- [24], [28]- [31] and references therein). However, there is no any publication about the Sturm-Liouville equation with a frozen argument on a time scale.…”