R. Ch. Kulaev, “Oscillatory properties of the Green function of discontinuous boundary value problem for equations of the fourth order”, Vladikavkaz. Mat. Zh., 17:1 (2015), 47

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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 47–59 (Mi vmj532)

This article is cited in 3 scientific papers (total in 3 papers)

Oscillatory properties of the Green function of discontinuous boundary value problem for equations of the fourth order

R. Ch. Kulaev^ab

^a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
^b North-Ossetia State University, Vladikavkaz, Russia

Full-text PDF (260 kB) Citations (3)

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Abstract: We study the sign and oscillatory properties of the Green function of discontinuous boundary value problem for a fourth-order equation describing small deformations of two rigidly connected rods with elastic support at the connection point. We obtain criterion for the oscillatory property of the Green function.

Key words: differential equation on the graph, discontinuous boundary value problem, Green's function, oscillatory properties.

Received: 14.04.2014

Document Type: Article

UDC: 517.927.2

Language: Russian

Citation: R. Ch. Kulaev, “Oscillatory properties of the Green function of discontinuous boundary value problem for equations of the fourth order”, Vladikavkaz. Mat. Zh., 17:1 (2015), 47–59

Citation in format AMSBIB

\Bibitem{Kul15}

\by R.~Ch.~Kulaev

\paper Oscillatory properties of the Green function of discontinuous boundary value problem for equations of the fourth order

\jour Vladikavkaz. Mat. Zh.

\yr 2015

\vol 17

\issue 1

\pages 47--59

\mathnet{http://mi.mathnet.ru/vmj532}

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https://www.mathnet.ru/eng/vmj532

https://www.mathnet.ru/eng/vmj/v17/i1/p47

This publication is cited in the following 3 articles:

R. Ch. Kulaev, “On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem”, Math. Notes, 100:3 (2016), 391–402
R. Ch. Kulaev, “Disconjugacy of fourth-order equations on graphs”, Sb. Math., 206:12 (2015), 1731–1770
R. Ch. Kulaev, “Comparison theorems for Green function of a fourth order boundary value problem on a graph”, Ufa Math. J., 7:4 (2015), 94–103

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	382
Full-text PDF :	128
References:	80

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