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
收藏
页码:115 / 122
页数:8
相关论文
共 50 条
  • [31] Nonlocal pair correlations in the one-dimensional Bose gas at finite temperature
    Deuar, P.
    Sykes, A. G.
    Gangardt, D. M.
    Davis, M. J.
    Drummond, P. D.
    Kheruntsyan, K. V.
    PHYSICAL REVIEW A, 2009, 79 (04):
  • [32] One-dimensional quaternion homogeneous polynomial differential equations
    Gasull, Armengol
    Llibre, Jaume
    Zhang, Xiang
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)
  • [33] ONE-DIMENSIONAL NUMERICAL INVESTIGATION OF A CYLINDRICAL MICRO COMBUSTOR
    Irani, A.
    Saediamiri, M.
    Saidi, M. S.
    Saidi, M. H.
    Shafii, M. B.
    HT2009: PROCEEDINGS OF THE ASME SUMMER HEAT TRANSFER, VOL 3, 2009, : 115 - 123
  • [34] NUMERICAL ESTIMATION OF THE ONE-DIMENSIONAL CONSOLIDATION BEHAVIOR OF CLAY
    Uysal, Firdevs
    Sivrikaya, Osman
    ACTA GEOTECHNICA SLOVENICA, 2020, 17 (02): : 16 - 25
  • [35] The Problem of Finding the One-Dimensional Kernel of the Thermoviscoelasticity Equation
    Totieva, Zh. D.
    Durdiev, D. K.
    MATHEMATICAL NOTES, 2018, 103 (1-2) : 118 - 132
  • [36] The Problem of Finding the One-Dimensional Kernel of the Thermoviscoelasticity Equation
    Zh. D. Totieva
    D. K. Durdiev
    Mathematical Notes, 2018, 103 : 118 - 132
  • [37] The problem of determining the one-dimensional kernel of the electroviscoelasticity equation
    D. K. Durdiev
    Zh. D. Totieva
    Siberian Mathematical Journal, 2017, 58 : 427 - 444
  • [38] The problem of determining the one-dimensional kernel of the electroviscoelasticity equation
    Durdiev, D. K.
    Totieva, Zh. D.
    SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (03) : 427 - 444
  • [39] Numerical Solution of a Hyperbolic-Parabolic Problem with Nonlocal Boundary Conditions
    Ashyralyev, Allaberen
    Ozdemir, Yildirim
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2012, 6 : 31 - 48
  • [40] Numerical solution to a one-dimensional nonlinear problem of heat wave propagation in a rigid thermal conducting slab
    Sweilam, N. H.
    Ghaleb, A. F.
    Abou-Dina, M. S.
    Hasan, M. M. Abou
    Al-Mekhlafi, S. M.
    Rawy, E. K.
    INDIAN JOURNAL OF PHYSICS, 2022, 96 (01) : 223 - 232