On characteristic functions of operators on equilateral graphs

Authors

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

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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.

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Published

2012-06-25

Issue

Vol. 18 No. 2 (2012)

Section

Articles

How to Cite

Taystruk, O., and V. N. Pivovarchik. “On Characteristic Functions of Operators on Equilateral Graphs”. Methods of Functional Analysis and Topology, vol. 18, no. 2, June 2012, pp. 189-97, https://zen.imath.kiev.ua/index.php/mfat/article/view/514.