Uniform Convergence of Fourier Series Expansions for a Fourth-Order Spectral Problem with Boundary Conditions Depending on the Eigenparameter

被引：0
|
作者：
Faiq Mirzali Namazov
机构：
[1] Baku State University,Department of Mathematics and Methods of its Teaching
来源：
Bulletin of the Iranian Mathematical Society | 2021年 / 47卷
关键词：
Eigenvalue problem; Ordinary differential equations of fourth order; Eigenfunction; Spectral expansion; Uniform convergence; 34B05; 34B24; 34L10; 34L20; 34B08; 34L15;
D O I：
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学科分类号：
摘要：
In this paper, we consider the eigenvalue problem for ordinary differential equations of fourth order with a spectral parameter contained in two of boundary conditions. We obtain refined asymptotic formulas for eigenvalues and eigenfunctions, and study uniform convergence of Fourier series expansions of continuous functions in the system of eigenfunctions of this problem.
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页码：225 / 235
页数：10
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