On characteristic functions of operators on equilateral graphs

Abstract

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.

Full Text

Article Information

Title	On characteristic functions of operators on equilateral graphs
Source	Methods Funct. Anal. Topology, Vol. 18 (2012), no. 2, 189-197
MathSciNet	MR2978194
zbMATH	1265.34114
Copyright	The Author(s) 2012 (CC BY-SA)

Authors Information

V. Pivovarchik
South Ukrainian National Pedagogical University, 26 Staroportofrankivs'ka, Odessa, 65020, Ukraine

O. Taystruk
South Ukrainian National Pedagogical University, 26 Staroportofrankivs'ka, Odessa, 65020, Ukraine 09/03/2012

Citation Example

V. Pivovarchik and O. Taystruk, On characteristic functions of operators on equilateral graphs, Methods Funct. Anal. Topology 18 (2012), no. 2, 189-197.

BibTex

@article {MFAT642,
    AUTHOR = {Pivovarchik, V. and Taystruk, O.},
     TITLE = {On characteristic functions of operators on equilateral graphs},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {18},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {189-197},
      ISSN = {1029-3531},
  MRNUMBER = {MR2978194},
 ZBLNUMBER = {1265.34114},
       URL = {http://mfat.imath.kiev.ua/article/?id=642},
}