, Volume 48, Issue 8, pp 1103-1111
Date: 15 Nov 2012

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

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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.

Original Russian Text © Yu.V. Pokornyi, M.B. Zvereva, Zh.I. Bakhtina, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 8, pp. 1117–1125.