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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 1, Pages 85–97
DOI: https://doi.org/10.17377/smzh.2016.57.107 (Mi smj2730) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the disconjugacy property of an equation on a graph

R. Ch. Kulaevab

a Southern Mathematical Institute, Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
b Khetagurov North Ossetian State University, Vladikavkaz, Russia
Full-text PDF (486 kB) Citations (10)
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DOI: https://doi.org/10.17377/smzh.2016.57.107
Abstract: Under study is the disconjugacy theory of forth order equations on a geometric graph. The definition of disconjugacy is given in terms of a special fundamental system of solutions to a homogeneous equation. We establish some connections between the disconjugacy property and the positivity of the Green's functions for several classes of boundary value problems for forth order equation on a graph. We also state the maximum principle for a forth order equation on a graph and prove some properties of differential inequalities.
Keywords: graph, differential equation on a graph, disconjugacy, Green’s function, maximum principle, differential inequality.
Received: 11.04.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 1, Pages 64–73
DOI: https://doi.org/10.1134/S0037446616010079
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: R. Ch. Kulaev, “On the disconjugacy property of an equation on a graph”, Sibirsk. Mat. Zh., 57:1 (2016), 85–97; Siberian Math. J., 57:1 (2016), 64–73
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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