Convergence of Eigenfunction Expansions of a Differential Operator with Integral Boundary Conditions
- 作者: Lomov I.1
-
隶属关系:
- Faculty of Computational Mathematics and Cybernetics
- 期: 卷 98, 编号 1 (2018)
- 页面: 386-390
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225541
- DOI: https://doi.org/10.1134/S1064562418050265
- ID: 225541
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详细
For a second-order ordinary differential operator on an interval of the real line with integral boundary conditions, conditions for the unconditional basis property and uniform convergence of the expansion of a function in terms of the eigen- and associated functions of this operator are established. The convergence and equiconvergence rates of this expansion and the equiconvergence rate of the trigonometric Fourier expansion of this function are estimated. The uniform convergence of its expansion in the adjoint system is studied.
作者简介
I. Lomov
Faculty of Computational Mathematics and Cybernetics
编辑信件的主要联系方式.
Email: lomov@cs.msu.ru
俄罗斯联邦, Moscow