STRUCTURE AND ASYMPTOTIC EXPANSION OF EIGENVALUES OF AN INTEGRAL-TYPE NONLOCAL PROBLEM

被引:0
|
作者
Zhou, Zhong-Cheng [1 ]
Liao, Fang-Fang [2 ,3 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
关键词
Eigenvalues; asymptotic expansion; nonlocal problem; Riesz basis; BOUNDARY-VALUE-PROBLEMS; M-POINT; NODAL SOLUTIONS; BASIS PROPERTY; 2ND-ORDER; BEAM;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the structure of eigenvalues of second-order differential equations with nonlocal integral boundary conditions. Moreover, we consider the asymptotic expansion of the eigenvalues and the corresponding eigenfunctions, which shows that the eigenfunctions form a Riesz basis for L-2 ([0; 1]; R).
引用
收藏
页数:12
相关论文
共 50 条
  • [22] Analysis of size effect on strength of quasi-brittle materials using integral-type nonlocal models
    Havlasek, Petr
    Grassl, Peter
    Jirasek, Milan
    ENGINEERING FRACTURE MECHANICS, 2016, 157 : 72 - 85
  • [23] GAMMA CONVERGENCE AND ASYMPTOTIC BEHAVIOR FOR EIGENVALUES OF NONLOCAL PROBLEMS
    Fernandez Bonder, Julian
    Silva, Analia
    Spedaletti, Juan F.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (05) : 2125 - 2140
  • [24] Integral-type Time-to-Digital Converter
    Sasaki, Yuto
    Kobayashi, Haruo
    2018 14TH IEEE INTERNATIONAL CONFERENCE ON SOLID-STATE AND INTEGRATED CIRCUIT TECHNOLOGY (ICSICT), 2018, : 899 - 901
  • [25] On a Generalized Langevin Type Nonlocal Fractional Integral Multivalued Problem
    Alsaedi, Ahmed
    Ahmad, Bashir
    Alghanmi, Madeaha
    Ntouyas, Sotiris K.
    MATHEMATICS, 2019, 7 (11)
  • [26] Asymptotic expansion of the nonlocal heat content
    Grzywny, Tomasz
    Lenczewska, Julia
    STUDIA MATHEMATICA, 2023, 270 (03) : 339 - 359
  • [27] On Fucik type spectrum for problem with integral nonlocal boundary condition
    Sergejeva, Natalija
    Peciulyte, Sigita
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (02): : 261 - 278
  • [28] ASYMPTOTIC PROPERTIES OF EIGENVALUES OF INTEGRAL-EQUATIONS
    KNESSL, C
    KELLER, JB
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (01) : 214 - 232
  • [29] Asymptotic expansion of a general integral
    Sellier, A
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1955): : 2655 - 2690
  • [30] Asymptotic expansion of the Keesom integral
    Abbott, Paul C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (29) : 8599 - 8600