Numerical Analysis of the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Conditions

被引：9

作者：

Sajavicius, S. ^{[1
]}

Sapagovas, M. ^{[2
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, LT-03225 Vilnius, Lithuania

[2] Inst Math & Informat, LT-08663 Vilnius, Lithuania

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2009年 / 14卷 / 01期

关键词：

numerical analysis; eigenvalue problem; one-dimensional differential operator; nonlocal integral conditions; STABILITY;

D O I：

10.15388/NA.2009.14.1.14535

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the eigenvalue problem for one-dimensional differential operator with nonlocal integral conditions is investigated numerically. The special cases of general problem are analyzed and hypothesis about the dependence of the spectral structure of that problem on the coefficient of differential operator and the parameters of nonlocal conditions are formulated.

引用

页码：115 / 122

页数：8

共 50 条

[31] NUMERICAL STUDY OF ONE-DIMENSIONAL STEFAN PROBLEM WITH PERIODIC BOUNDARY CONDITIONS
Qu, Liang-Hui
Ling, Feng
Xing, Lin
THERMAL SCIENCE, 2013, 17 (05): : 1453 - 1458
[32] On the integral solution of the one-dimensional Bratu problem
Mohsen, A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 251 : 61 - 66
[33] Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory
Danesh, Hooman
Javanbakht, Mahdi
MATHEMATICS AND MECHANICS OF SOLIDS, 2022, 27 (04) : 557 - 577
[34] On the Spectrum Structure for one Difference Eigenvalue Problem with Nonlocal Boundary Conditions
Sapagovas, Mifodijus
Pupalaige, Kristina
Ciupaila, Regimantas
Meskauskas, Tadas
MATHEMATICAL MODELLING AND ANALYSIS, 2023, 28 (03) : 522 - 541
[35] Analysis and compensation of numerical damping in a one-dimensional aeroelastic problem
Piperno, S
Larrouturou, B
Lesoinne, M
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 1996, 6 (02) : 157 - 174
[36] A nonlocal problem with integral conditions
Golubeva, ND
Pulkina, LS
MATHEMATICAL NOTES, 1996, 59 (3-4) : 326 - 328
[37] On an eigenvalue problem involving the one-dimensional p-Laplacian
Huy, NB
Thanh, TD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (01) : 123 - 131
[38] Numerical Simulation of a One-Dimensional Shock Tube Problem at Supercritical Fluid Conditions
Ksibi, Hatem
Ben Moussa, Ali
INTERNATIONAL JOURNAL OF FLUID MECHANICS RESEARCH, 2008, 35 (01) : 38 - 50
[39] Numerical simulation of a one-dimensional shock tube problem at supercritical fluid conditions
Ksibi, Hatem
Ben Moussa, Ali
INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES, 2008, 3 (12): : 314 - 320
[40] Classical Solution of a Problem with Integral Conditions of the Second Kind for the One-Dimensional Wave Equation
V. I. Korzyuk
I. S. Kozlovskaya
S. N. Naumavets
Differential Equations, 2019, 55 : 353 - 362

← 1 2 3 4 5 →