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.

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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

Issue

Section

Mathematics