|
Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2012, Issue 1, Pages 3–9
(Mi uzeru117)
|
|
|
|
Mathematics
Some properties of generalized eigenfunctions of one class of differential operators
H. A. Asatryana, T. V. Sargsyanb 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
Citation:
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, no. 1, 3–9
Linking options:
https://www.mathnet.ru/eng/uzeru117 https://www.mathnet.ru/eng/uzeru/y2012/i1/p3
|
Statistics & downloads: |
Abstract page: | 89 | Full-text PDF : | 24 | References: | 16 |
|