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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 375–387
DOI: https://doi.org/10.4213/mzm10744 (Mi mzm10744) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem

R. Ch. Kulaevab

a North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz
b South Mathematical Institute of VSC RAS
Full-text PDF (525 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm10744
Abstract: The paper deals with conditions under which the Green function of a multipoint boundary-value problem for fourth-order equations describing small strains of a rod fastened to a solid elastic basement and additionally fixed by “concentrated” elastic supports at separate points has the oscillation property. It is shown that the condition that the Green function is positive is necessary and sufficient for the Green function to have the oscillation property.
Keywords: fourth-order boundary-value problem, Green function, the oscillation property, oscillation theorem, sign regularity.
Received: 23.05.2015
Revised: 07.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 391–402
DOI: https://doi.org/10.1134/S0001434616090054
Bibliographic databases:
Document Type: Article
UDC: 517.927.6
Language: Russian
Citation: R. Ch. Kulaev, “On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem”, Mat. Zametki, 100:3 (2016), 375–387; Math. Notes, 100:3 (2016), 391–402
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm10744
  • https://doi.org/10.4213/mzm10744
  • https://www.mathnet.ru/eng/mzm/v100/i3/p375
    • This publication is cited in the following 7 articles:
    1. A. A. Vladimirov, A. A. Shkalikov, “Oscillatory properties of selfadjoint boundary value problems of the fourth order”, St. Petersburg Math. J., 35:1 (2024), 83–100  mathnet  crossref
    2. R. Ch. Kulaev, A. A. Urtaeva, “Sturm Separation Theorems for a Fourth-Order Equation on a Graph”, Math. Notes, 111:6 (2022), 977–981  mathnet  crossref  crossref  mathscinet
    3. M. B. Zvereva, “Model deformatsii sistemy stiltesovskikh strun s nelineinym usloviem”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:4 (2022), 528–545  mathnet  crossref  mathscinet
    4. P. Almenar, L. Jodar, “Accurate estimations of any eigenpairs of n-th order linear boundary value problems”, Mathematics, 9:21 (2021), 2663  crossref  mathscinet  isi  scopus
    5. S. Faydaoglu, “An expansion result for the equation of transverse vibration of two-layered composite”, International Conference on Analysis and Applied Mathematics (ICAAM 2018), AIP Conf. Proc., 1997, Amer. Inst. Physics, 2018, UNSP 020015-1  crossref  isi  scopus
    6. R. Ch. Kulaev, “K voprosu o neostsillyatsii differentsialnogo uravneniya na grafe”, Vladikavk. matem. zhurn., 19:3 (2017), 31–40  mathnet
    7. A. A. Vladimirov, “On the Problem of Oscillation Properties of Positive Differential Operators with Singular Coefficients”, Math. Notes, 100:6 (2016), 790–795  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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