SOME PROPERTIES OF GENERALIZED EIGENFUNCTIONS OF ONE CLASS OF DIFFERENTIAL OPERATORS

H.A. Asatryan; T.V. Sargsyan

doi:10.46991/PYSU:A/2012.46.1.003

SOME PROPERTIES OF GENERALIZED EIGENFUNCTIONS OF ONE CLASS OF DIFFERENTIAL OPERATORS

Authors

H.A. Asatryan Chair of Differential Equations, YSU, Armenia
T.V. Sargsyan Institute of Mathematics of NAS of the Republic of Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.1.003

Keywords:

differential operator, generalized eigenfunction, spectral decompo-sition, integral equation

Abstract

In the paper considers continuality in a parameter of generalized eigenfunc-tions of one class of differential operators. Properties of one class of functions constructed by means of the generalized eigenfunctions and used in the theory of integral equations are studied.

Downloads

Published

2012-03-06

How to Cite

Asatryan, H., & Sargsyan, T. (2012). SOME PROPERTIES OF GENERALIZED EIGENFUNCTIONS OF ONE CLASS OF DIFFERENTIAL OPERATORS. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(1 (227), 3–9. https://doi.org/10.46991/PYSU:A/2012.46.1.003