Uniform Convergence of Spectral Expansions in the Terms of Root Functions of a Spectral Problem for the Equation of a Vibrating Beam

被引：0

作者：

Aliyev, Ziyatkhan S. ^{[1
,2
]}

Abdullayeva, Konul F. ^{[3
]}

机构：

[1] Baku State Univ, Fac Mech & Math, Dept Math Anal, AZ-1148 Baku, Azerbaijan

[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, Dept Differential Equat, AZ-1141 Baku, Azerbaijan

[3] Sumgait State Univ, Fac Math, Dept Math Anal & Theory Funct, AZ-5008 Sumgait, Azerbaijan

来源：

JOURNAL OF MATHEMATICAL STUDY | 2021年 / 54卷 / 04期

关键词：

Ordinary differential equations of fourth order; bending vibrations of a homogeneous rod; root functions; uniform convergence of spectral expansions; PARAMETER;

D O I：

10.4208/jms.v54n4.21.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a spectral problem which describes bending vibrations of a homogeneous rod, in cross-sections of which the longitudinal force acts, the left end of which is fixed rigidly and on the right end is concentrated an elastically fixed load. We study the uniform convergence of spectral expansions in terms of root functions of this problem.

引用

页码：435 / 450

页数：16

共 50 条

[21] Absolute and uniform convergence of expansions in the root vector functions of the Dirac operator
V. M. Kurbanov
A. I. Ismailova
Doklady Mathematics, 2012, 86 : 663 - 666
[22] Convergence of spectral expansions for functions of the Holder class for two problems with a spectral parameter in the boundary condition
Kapustin, NY
Moiseev, EI
DIFFERENTIAL EQUATIONS, 2000, 36 (08) : 1182 - 1188
[23] On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition
Kapustin, N. Yu.
DIFFERENTIAL EQUATIONS, 2010, 46 (10) : 1507 - 1510
[24] On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition
N. Yu. Kapustin
Differential Equations, 2010, 46 : 1507 - 1510
[25] On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition
Kerimov, Nazim B.
Maris, Emir A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (09) : 2298 - 2309
[26] Uniform Convergence of Fourier Series Expansions for a Fourth-Order Spectral Problem with Boundary Conditions Depending on the Eigenparameter
Faiq Mirzali Namazov
Bulletin of the Iranian Mathematical Society, 2021, 47 : 225 - 235
[27] Uniform Convergence of Fourier Series Expansions for a Fourth-Order Spectral Problem with Boundary Conditions Depending on the Eigenparameter
Namazov, Faiq Mirzali
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (01) : 225 - 235
[28] Uniform convergence of spectral expansions in a nonorthonormal fundamental function system of the Laplace operator
Soldatova, MA
DIFFERENTIAL EQUATIONS, 2003, 39 (04) : 564 - 576
[29] Uniform Convergence of Spectral Expansions in a Nonorthonormal Fundamental Function System of the Laplace Operator
M. A. Soldatova
Differential Equations, 2003, 39 : 564 - 576
[30] Uniform Convergence of Expansions in Root Functions of a Differential Operator with Integral Boundary Conditions
Lomov, I. S.
DIFFERENTIAL EQUATIONS, 2019, 55 (04) : 471 - 482

← 1 2 3 4 5 →