Ordinary Differential Equations

Differential Equations

, Volume 48, Issue 8, pp 1103-1111

First online:

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

  • Yu. V. PokornyiAffiliated withVoronezh State University
  • , M. B. ZverevaAffiliated withVoronezh State University
  • , Zh. I. BakhtinaAffiliated withVoronezh State University

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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.