ASYMPTOTICS OF THE NORMING CONSTANTS OF THE STURM–LIOUVILLE PROBLEM

T.N. Harutyunyan

doi:10.46991/PYSU:A/2013.47.3.003

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.