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Matematicheskie Zametki, 2019, Volume 106, Issue 6, Pages 854–859
DOI: https://doi.org/10.4213/mzm12502 (Mi mzm12502) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Oscillation Properties of a Multipoint Fourth-Order Boundary-Value Problem with Spectral Parameter in the Boundary Condition

A. A. Vladimirova, E. S. Karulinab

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
b Plekhanov Russian State University of Economics, Moscow
Full-text PDF (477 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm12502
Abstract: A multipoint fourth-order boundary-value problem with spectral parameter in the boundary condition is considered. It is proved that its spectrum is simple and the system of derivative eigenfunctions has oscillation properties.
Keywords: oscillation eigenfunction, sign-regular operator, Sobolev space.
Received: 02.07.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 899–903
DOI: https://doi.org/10.1134/S0001434619110257
Bibliographic databases:
Document Type: Article
UDC: 517.927+517.984
Language: Russian
Citation: A. A. Vladimirov, E. S. Karulina, “Oscillation Properties of a Multipoint Fourth-Order Boundary-Value Problem with Spectral Parameter in the Boundary Condition”, Mat. Zametki, 106:6 (2019), 854–859; Math. Notes, 106:6 (2019), 899–903
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm12502
  • https://doi.org/10.4213/mzm12502
  • https://www.mathnet.ru/eng/mzm/v106/i6/p854
    • This publication is cited in the following 4 articles:
    1. Ziyatkhan S. Aliyev, Ayna E. Fleydanli, “Properties of eigenfunctions of a boundary value problem for ordinary differential equations of fourth-order with boundary conditions depending on the spectral parameter”, Journal of Differential Equations, 407 (2024), 57  crossref
    2. 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
    3. 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
    4. A. A. Vladimirov, A. A. Shkalikov, “On oscillation properties of self-adjoint boundary value problems of fourth order”, Dokl. Math., 103:1 (2021), 5–9  mathnet  crossref  crossref  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:49
    First page:21
     
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