3 citations · 7 across the 9 of their papers we have counts for
5 papers · 2 filters
Dirac operator with linear potential and its perturbations
Yuri A. Ashrafyan, Tigran N. Harutyunyan
We prove that canonical Dirac expression with linear potential generates operators on axis and half axis, for which we can find the eigenvalues and eigenfunctions in explicit form.…
Inverse Sturm-Liouville problems with fixed boundary conditions
Tigran Harutyunyan, Yuri Ashrafyan
Necessary and sufficient conditions for two sequences and to be the spectral data for a certain Sturm-Liouville problem are well know…
On the "movement" of the zeros of eigenfunctions of the Sturm-Liouville problem
Tigran Harutyunyan, Avetik Pahlevanyan, Yuri Ashrafyan
We study the dependence of the zeros of eigenfunctions of Sturm-Liouville problem on the parameters that define the boundary conditions. As a corollary, we obtain Sturm oscillation…
Riesz bases generated by the spectra of Sturm-Liouville problems
Tigran Harutyunyan, Avetik Pahlevanyan, Anna Srapionyan
Let be the spectra of a Sturm-Liouville problem on . We investigate the question: Do the systems or $\{\sin(λ_n x)…
On the norming constants of the Sturm-Liouville problem
Tigran Harutyunyan, Avetik Pahlevanyan
We derive new asymptotic formulae for the norming constants of Sturm-Liouville problem with summable potentials, which generalize and make more precise previously known formulae. M…