H. A. Asatryan, T. V. Sargsyan, “Some properties of generalized eigenfunctions of one class of differential operators”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, Issue 1,Pages <nobr>3

Mathematics

Some properties of generalized eigenfunctions of one class of differential operators

H. A. Asatryan^a, T. V. Sargsyan^b

^a Chair of Differential Equations and Functional Analysis YSU, Armenia
^b Institute of Mathematics of NAS Republic of Armenia

Abstract: In the paper considers continuality in a parameter of generalized eigenfunctions 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.

Keywords: differential operator, generalized eigenfunction, spectral decomposition, integral equation.

Received: 05.12.2011
Accepted: 25.01.2012

Language: English