Differential Equations

, Volume 48, Issue 8, pp 1103–1111

Stieltjes differential method in the modeling of an irregular system on a geometric graph

  • Yu. V. Pokornyi
  • M. B. Zvereva
  • Zh. I. Bakhtina
Ordinary Differential Equations

DOI: 10.1134/S0012266112080058

Cite this article as:
Pokornyi, Y.V., Zvereva, M.B. & Bakhtina, Z.I. Diff Equat (2012) 48: 1103. doi:10.1134/S0012266112080058
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Abstract

We analyze a SD-equation on a graph from the viewpoint of variational laws and generalize the mathematical modeling on space grids to the case of an irregular object. We take into account the possible appearance of the delta-function phenomenon even at the grid nodes.

Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • Yu. V. Pokornyi
    • 1
  • M. B. Zvereva
    • 1
  • Zh. I. Bakhtina
    • 1
  1. 1.Voronezh State UniversityVoronezhRussia