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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 3–11 (Mi ivm1772)  

This article is cited in 7 scientific papers (total in 7 papers)

A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions

R. R. Abzalimova, E. V. Salyakhovab

a Ufa Oil Technical State University
b Ufa Aviation Technical State University
Full-text PDF (169 kB) Citations (7)
References:
Abstract: We propose a method for the computation of eigenvalues with odd multiplicities for spectral boundary value problems of the 4th order with separated boundary conditions. In this method, approximate eigenvalues appear as zeros of a certain function $f(\lambda)$ which admits an explicit representation.
Keywords: eigenvalue, eigenfunction.
Received: 06.03.2006
Revised: 11.03.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 11, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X08110017
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: R. R. Abzalimov, E. V. Salyakhova, “A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11, 3–11; Russian Math. (Iz. VUZ), 52:11 (2008), 1–9
Citation in format AMSBIB
\Bibitem{AbzSal08}
\by R.~R.~Abzalimov, E.~V.~Salyakhova
\paper A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 11
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivm1772}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2530580}
\zmath{https://zbmath.org/?q=an:1160.65325}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 11
\pages 1--9
\crossref{https://doi.org/10.3103/S1066369X08110017}
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  • https://www.mathnet.ru/eng/ivm/y2008/i11/p3
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:262
    Full-text PDF :64
    References:50
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