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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
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
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
Linking options:
https://www.mathnet.ru/eng/ufa305https://doi.org/10.13108/2015-7-4-94 https://www.mathnet.ru/eng/ufa/v7/i4/p99
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Abstract page: | 352 | Russian version PDF: | 167 | English version PDF: | 26 | References: | 65 |
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