Expansion by eigenvectors in case of simple eigenvalues of singular differential operator

Authors

  • O.V. Makhnei Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-3048-5910
  • R.M. Tatsii Lviv State University of Life Safety, 35 Kleparivska str., Lviv, Ukraine

Keywords:

eigenfunction, distribution, measure
Published online: 2011-06-30

Abstract

The asymptotic formulas with large values of parameter for solutions of singular differential equation allow us to estimate Green's function of the boundary-value problem. With the help of this estimation the expansion of singular differential operator by eigenvectors in the case of simple eigenvalues is constructed.

How to Cite
(1)
Makhnei, O.; Tatsii, R. Expansion by Eigenvectors in Case of Simple Eigenvalues of Singular Differential Operator. Carpathian Math. Publ. 2011, 3, 94-105.