A. Pahlevanyan

most citedOn the norming constants of the Sturm-Liouville problem

3 citations · 5 across the 5 of their papers we have counts for

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math.SP2019

Convergence of expansions for eigenfunctions and asymptotics of the spectral data of the Sturm-Liouville problem

A. A. Pahlevanyan

Uniform convergence of the expansion of an absolutely continuous function for eigenfunctions of the Sturm-Liouville problem $- y " + q (x) y = μ y,$ $y (0) = 0,$ …

math.SP2016★ 1 cited

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…

math.SP2016

Riesz bases generated by the spectra of Sturm-Liouville problems

Tigran Harutyunyan, Avetik Pahlevanyan, Anna Srapionyan

Let ${λ_{n}^{2}}_{n = 0}^{\infty}$ be the spectra of a Sturm-Liouville problem on $[0, π]$ . We investigate the question: Do the systems ${cos (λ_{n} x)}_{n = 0}^{\infty}$ or $\{\sin(λ_n x)…

math.SP2016★ 3 cited

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…

math.SP2016★ 1 cited

On the constructive solution of an inverse Sturm-Liouville problem

Avetik Pahlevanyan

The necessary and sufficient conditions are found for the two sequences ${μ_{n}}_{n = 0}^{\infty}$ and ${a_{n}}_{n = 0}^{\infty}$ to be the spectrum and the nor…