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Ufa Mathematical Journal, 2015, Volume 7, Issue 4, Pages 94–103
DOI: https://doi.org/10.13108/2015-7-4-94
(Mi ufa305)
 

This article is cited in 2 scientific papers (total in 2 papers)

Comparison theorems for Green function of a fourth order boundary value problem on a graph

R. Ch. Kulaevab

a Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
b North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz, Russia
References:
Abstract: In the work we develop the non-oscillation theory for fourth order equations on a geometric graph arising in modelling of rod junctions. The non-oscillation of an equation is defined in terms of the properties of a special fundamental system of solutions to the homogeneous equation. We describe the relation between non-oscillation property and the positivity of Green function to some classes of boundary value problems for fourth order equation on a graph.
Keywords: graph, differential equation on a graph, non-oscillation, Green function.
Received: 10.04.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 4, Pages 99–108
Bibliographic databases:
Document Type: Article
UDC: 517.927.5
MSC: 34C10
Language: English
Original paper language: Russian
Citation: R. Ch. Kulaev, “Comparison theorems for Green function of a fourth order boundary value problem on a graph”, Ufimsk. Mat. Zh., 7:4 (2015), 99–108; Ufa Math. J., 7:4 (2015), 94–103
Citation in format AMSBIB
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\paper Comparison theorems for Green function of a~fourth order boundary value problem on a~graph
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\pages 99--108
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Linking options:
  • https://www.mathnet.ru/eng/ufa305
  • https://doi.org/10.13108/2015-7-4-94
  • https://www.mathnet.ru/eng/ufa/v7/i4/p99
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
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    Abstract page:352
    Russian version PDF:167
    English version PDF:26
    References:65
     
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