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Matematicheskie Zametki, 2004, Volume 75, Issue 4, Pages 493–506
DOI: https://doi.org/10.4213/mzm47 (Mi mzm47) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On Coefficients of Eigenfunction Expansions for Boundary-Value Problems with Parameter in Boundary Conditions

A. M. Akhtyamov

Bashkir State University
Full-text PDF (237 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/mzm47
Abstract: In this paper, we consider boundary-value problems for an nth-order ordinary differential equation with polynomials of the spectral parameter in the equation and in the boundary conditions. For a wide class of such problems, we find coefficients of the eigen and associated function expansions for the Shkalikov linearizer.
Received: 01.07.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 4, Pages 462–474
DOI: https://doi.org/10.1023/B:MATN.0000023330.83453.e2
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: A. M. Akhtyamov, “On Coefficients of Eigenfunction Expansions for Boundary-Value Problems with Parameter in Boundary Conditions”, Mat. Zametki, 75:4 (2004), 493–506; Math. Notes, 75:4 (2004), 462–474
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm47
  • https://www.mathnet.ru/eng/mzm/v75/i4/p493
    • This publication is cited in the following 7 articles:
    1. Fazullin Z.Yu., Madibaiuly Zh., Yermekkyzy L., “Control of Vibrations of Elastically Fixed Objects Using Analysis of Eigenfrequencies”, Int. J. Math. Phys.-Kazakhstan, 11:2 (2020), 27–31  crossref  isi
    2. Akhtyamov A.M. Kumushbaev R.R., “Identification of the polynomial in nonseparated boundary conditions by one eigenvalue”, Differ. Equ., 52:5 (2016), 672–675  crossref  mathscinet  zmath  isi  elib  scopus
    3. A. M. Akhtyamov, R. R. Kumushbaev, “Identification of a polynomial in nonseparated boundary conditions in the case of a multiple zero eigenvalue”, Ufa Math. J., 7:1 (2015), 13–18  mathnet  crossref  mathscinet  isi  elib
    4. Al-Aidarous E.S., Aliev A.R., Rzayev E.S., Zedan H.A., “Fourth Order Elliptic Operator-Differential Equations With Unbounded Operator Boundary Conditions in the Sobolev-Type Spaces”, Bound. Value Probl., 2015, 191  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    5. Kapustin N.Yu., “On a Problem With a Boundary Condition of the Second Kind, a Complex-Valued Coefficient, and a Spectral Parameter in the Other Boundary Condition”, Differ. Equ., 50:10 (2014), 1391–1394  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Akhtyamov A.M., Kumushbaev R.R., “Identification of a Polynomial in Nonsplitting Boundary Conditions”, Differ. Equ., 48:11 (2012), 1527–1530  crossref  mathscinet  zmath  isi  elib  elib  scopus
    7. Kapustin N.Yu., “On a Classical Problem with a Complex-Valued Coefficient and the Spectral Parameter in a Boundary Condition”, Differ. Equ., 48:10 (2012), 1341–1347  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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