|
This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
On analogue of Jordan–Dirichlet theorem about the convergence of the expansions in eigenfunctions of a certain class of differential-difference operators
V. A. Khalova Saratov State University, Chair of Differential Equations and Applied Mathematics
Abstract:
An analogue of Jordan–Dirichlet theorem is established of convergence of the expansions in eigen functions of the operator $Ly=\alpha y'(x)-y'(1-x)$ with the boundary condition $U(y)=ay(0)+by(1)-(y,\varphi)=0$.
Key words:
Jordan–Dirichlet theorem, resolvent.
Citation:
V. A. Khalova, “On analogue of Jordan–Dirichlet theorem about the convergence of the expansions in eigenfunctions of a certain class of differential-difference operators”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 26–32
Linking options:
https://www.mathnet.ru/eng/isu171 https://www.mathnet.ru/eng/isu/v10/i3/p26
|
Statistics & downloads: |
Abstract page: | 378 | Full-text PDF : | 108 | References: | 46 | First page: | 1 |
|