ASYMPTOTICS OF THE NORMING CONSTANTS OF THE STURM–LIOUVILLE PROBLEM

Authors

  • T.N. Harutyunyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.3.003

Keywords:

Sturm–Liouville problem, norming constants, asymptotics of the solutions, asymptotics of spectral data

Abstract

We derive new asymptotic formulae for the norming constants of Sturm– Liouville problem, which generalize and make more precise previously known formulae, by taking into account the smooth dependence of norming constants on boundary conditions.

Author Biography

T.N. Harutyunyan, Chair of Differential Equations, YSU, Armenia

We derive new asymptotic formulae for the norming constants of Sturm– Liouville problem, which generalize and make more precise previously known formulae, by taking into account the smooth dependence of norming constants on boundary conditions.

Downloads

Published

2013-11-20

How to Cite

Harutyunyan, T. (2013). ASYMPTOTICS OF THE NORMING CONSTANTS OF THE STURM–LIOUVILLE PROBLEM. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(3 (232), 3–11. https://doi.org/10.46991/PYSU:A/2013.47.3.003

Issue

Section

Mathematics