ON CHARACTERISTIC FUNCTIONS OF OPERATORS ON EQUILATERAL GRAPHS

被引：0
|
作者：
Pivovarchik, V. [1 ]
Taystruk, O. [1 ]
机构：
[1] South Ukrainian Natl Pedagog Univ, 26 Staroportofrankivska, UA-65020 Odessa, Ukraine
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2012年 / 18卷 / 02期
基金：
瑞士国家科学基金会;
关键词：
Sturm-Liouville equation; Dirichlet boundary condition; Neumann boundary condition; Kirchhoff's condition; eigenvalue; multiplicity; discrete Laplacian; continuous Laplacian; quantum graph; cyclically connected graph; tree;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Known connection between discrete and continuous Laplacians in case of same symmetric potential on the edges of a quantum graph is used to construct characteristic functions of quantum graphs and to find some parameters of graphs using spectra of boundary value problems.
引用
收藏
页码：189 / 197
页数：9
相关论文
共 50 条
  • [1] Spectra of Schrodinger operators on equilateral quantum graphs
    Pankrashkin, Konstantin
    LETTERS IN MATHEMATICAL PHYSICS, 2006, 77 (02) : 139 - 154
  • [2] Spectra of Schrödinger Operators on Equilateral Quantum Graphs
    Konstantin Pankrashkin
    Letters in Mathematical Physics, 2006, 77 : 139 - 154
  • [3] Characteristic functions of quantum graphs
    Law, C. K.
    Pivovarchik, V.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (03)
  • [4] CHARACTERISTIC FUNCTIONS OF LINEAR OPERATORS
    STRAUS, AV
    DOKLADY AKADEMII NAUK SSSR, 1959, 126 (03): : 514 - 516
  • [5] CHARACTERISTIC FUNCTIONS OF OPERATORS SIMILAR TO UNITARY OPERATORS
    GHATAGE, P
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (01) : 62 - 64
  • [6] Characteristic functions of maximal sectorial operators
    Arlinskii, Y
    RECENT ADVANCES IN OPERATOR THEORY: ISRAEL GOHBERG ANNIVERSARY VOLUME, 2000, 124 : 89 - 108
  • [7] CHARACTERISTIC FUNCTIONS OF LINEAR-OPERATORS
    DERKACH, VA
    MALAMUD, MM
    DOKLADY AKADEMII NAUK, 1992, 323 (05) : 816 - 822
  • [8] Folding Equilateral Plane Graphs
    Abel, Zachary
    Demaine, Erik D.
    Demaine, Martin L.
    Eisenstat, Sarah
    Lynch, Jayson
    Schardl, Tao B.
    Shapiro-Ellowitz, Isaac
    ALGORITHMS AND COMPUTATION, 2011, 7074 : 574 - +
  • [9] A THEORY OF NONCOMMUTATIVE DETERMINANTS AND CHARACTERISTIC FUNCTIONS OF GRAPHS
    GELFAND, IM
    RETAKH, VS
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1992, 26 (04) : 231 - 246
  • [10] The Adjacency Graphs of FSRs With Affine Characteristic Functions
    Li, Ming
    Lin, Dongdai
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68 (01) : 649 - 658
12345