Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients

被引：12

作者：

Veliev, O. A. ^{[1
]}

机构：

[1] Dogus Univ, Fac Arts & Sci, Dept Math, TR-34722 Istanbul, Turkey

来源：

BOUNDARY VALUE PROBLEMS | 2008年 / 2008卷 / 1期

关键词：

D O I：

10.1155/2008/628973

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coeffcients and the quasiperiodic boundary conditions. Using these asymptotic formulas, we find conditions on the coeffcients for which the root functions of this operator form a Riesz basis. Then, we obtain the uniformly convergent spectral expansion of the differential operators with the periodic matrix coeffcients.

引用

页数：22

共 50 条

[41] Spectral Properties of Matrix Differential Equations with Nonsmooth Coefficients
I. N. Braeutigam
Differential Equations, 2020, 56 : 685 - 695
[42] On the uniform convergence of spectral expansions in a problem for the Laplace operator on the square with spectral parameter in the boundary condition
Kapustin, N. Yu.
DIFFERENTIAL EQUATIONS, 2013, 49 (10) : 1227 - 1232
[43] On the uniform convergence of spectral expansions in a problem for the Laplace operator on the square with spectral parameter in the boundary condition
N. Yu. Kapustin
Differential Equations, 2013, 49 : 1227 - 1232
[44] Solutions Almost Periodic at Infinity to Differential Equations With Unbounded Operator Coefficients
Baskakov, A. G.
Strukova, I. I.
Trishina, I. A.
SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (02) : 231 - 242
[45] Solutions Almost Periodic at Infinity to Differential Equations With Unbounded Operator Coefficients
A. G. Baskakov
I. I. Strukova
I. A. Trishina
Siberian Mathematical Journal, 2018, 59 : 231 - 242
[46] Uniform estimate on the entire axis R for the rate of convergence of the spectral expansion corresponding to the Schrodinger operator with potential from the Kato class
Denisov, SA
DIFFERENTIAL EQUATIONS, 1997, 33 (06) : 757 - 764
[47] Uniform convergence of spectral expansions in a nonorthonormal fundamental function system of the Laplace operator
Soldatova, MA
DIFFERENTIAL EQUATIONS, 2003, 39 (04) : 564 - 576
[48] Uniform Convergence of Spectral Expansions in a Nonorthonormal Fundamental Function System of the Laplace Operator
M. A. Soldatova
Differential Equations, 2003, 39 : 564 - 576
[49] EXPANSION AND BOUNDEDNESS THEOREMS FOR SOLUTIONS OF LINEAR DIFFERENTIAL SYSTEMS WITH PERIODIC OR ALMOST PERIODIC COEFFICIENTS
GOLOMB, M
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1958, 2 (03) : 284 - 308
[50] On the spectrum of the differential operators of even order with periodic matrix coefficients
Veliev, O. A.
LETTERS IN MATHEMATICAL PHYSICS, 2023, 113 (03)

← 1 2 3 4 5 →