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

[41] Spectral Expansions of Overconvergent Modular Functions
Loeffler, David
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
[42] On spectral expansions of piecewise smooth functions
Alimov, S
DOKLADY MATHEMATICS, 2001, 64 (03) : 295 - 297
[43] Loaded differential operators: Convergence of spectral expansions
I. S. Lomov
Differential Equations, 2014, 50 : 1070 - 1079
[44] Loaded differential operators: Convergence of spectral expansions
Lomov, I. S.
DIFFERENTIAL EQUATIONS, 2014, 50 (08) : 1070 - 1079
[45] On the convergence in W2m of spectral expansions for a spectral problem with boundary conditions of the third kind one of which contains the spectral parameter
D. A. Gulyaev
Differential Equations, 2012, 48 : 1429 - 1432
[46] On the beam functions spectral expansions for fourth-order boundary value problems
Papanicolaou, N. C.
Christov, C. I.
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS '33, 2007, 946 : 119 - +
[47] Classes of Uniform Convergence of Spectral Expansions for the One-Dimensional Schrodinger Operator with a Distribution Potential
Kritskov, L. V.
DIFFERENTIAL EQUATIONS, 2017, 53 (05) : 583 - 594
[48] On the Uniform Convergence of Fourier Series Expansions for Sturm–Liouville Problems with a Spectral Parameter in the Boundary Conditions
Nazim B. Kerimov
Emir A. Maris
Results in Mathematics, 2018, 73
[49] Basis Properties in Lp of Systems of Root Functions of a Spectral Problem with Spectral Parameter in a Boundary Condition
Aliev, Z. S.
DIFFERENTIAL EQUATIONS, 2011, 47 (06) : 766 - 777
[50] Basis properties in Lp of systems of root functions of a spectral problem with spectral parameter in a boundary condition
Z. S. Aliev
Differential Equations, 2011, 47 : 766 - 777

← 1 2 3 4 5 →