Differential Equations

, Volume 48, Issue 8, pp 1103–1111 | Cite as

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


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.


Nontrivial Solution Nonnegative Solution Admissible Function Internal Vertex Interior Node 
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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

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