Finite spectrum of 2nth order boundary value problems

被引：11
|
作者：
Ao, Ji-jun [1 ]
Sun, Jiong [2 ]
Zettl, Anton [3 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[3] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 42卷
基金：
中国国家自然科学基金;
关键词：
2nth order boundary value problems; Eigenvalues; Finite spectrum; STURM-LIOUVILLE PROBLEMS;
D O I：
10.1016/j.aml.2014.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For any even positive integer 2n and any positive integer m we construct a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most (2n 1)m + 1 eigenvalues. Our main result reduces to previously known results for the cases n = 1 and n = 2. In the self-adjoint case with separated boundary conditions this upper bound can be improved to n(m + 1). (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
  • [1] Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions
    Li, Jia
    Hao, Xiaoling
    Li, Kun
    Yao, Siqin
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44 (04) : 296 - 310
  • [2] Dependence of eigenvalues of 2nth order boundary value transmission problems
    Li, Kun
    Sun, Jiong
    Hao, Xiaoling
    BOUNDARY VALUE PROBLEMS, 2017,
  • [3] Fourth order boundary value problems with finite spectrum
    Ao, Ji-jun
    Bo, Fang-zhen
    Sun, Jiong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 952 - 958
  • [4] ON TWO CLASSES OF THIRD ORDER BOUNDARY VALUE PROBLEMS WITH FINITE SPECTRUM
    Ao, J. J.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (05): : 1089 - 1099
  • [5] Matrix representations of fourth order boundary value problems with finite spectrum
    Ao, Ji-jun
    Sun, Jiong
    Zettl, Anton
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 2359 - 2365
  • [6] Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter
    Zhang, Na
    Ao, Ji-jun
    OPEN MATHEMATICS, 2023, 21 (01):
  • [7] Inverse spectral problem of fourth-order boundary value problems with finite spectrum
    Ao, Ji-Jun
    Zhang, Liang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (13) : 4472 - 4479
  • [8] THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES
    Ao, Jijun
    Liu, Nana
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 1869 - 1877
  • [9] The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
    Bo, Fang-zhen
    Ao, Ji-jun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] ON THE FINITE SPECTRUM OF THREE-POINT BOUNDARY VALUE PROBLEMS
    Akhtyamov, A. M.
    BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2020, 13 (02): : 130 - 135
12345