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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 3, Pages 22–30
DOI: https://doi.org/10.18500/1816-9791-2012-12-3-22-30 (Mi isu308) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential

M. Sh. Burlutskayaa, V. P. Kurdyumovb, A. P. Khromovb

a Voronezh State University, Chair of Mathematical Analysis
b Saratov State University, Chair of Differential Equations and Applied Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2012-12-3-22-30
Abstract: This paper investigates the Dirac system with the continuous potential. Asymptotic formulas for the eigenvalues (including refined) and eigenfunctions are established. As an application we obtain a theorem P. Dzhakova and B. S. Mityagin on the Riesz bases with brackets.
Key words: asymptotic formulas for the eigenvalues and eigenfunctions, Dirac system, Riesz bases.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. Sh. Burlutskaya, V. P. Kurdyumov, A. P. Khromov, “Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential”, Izv. Saratov Univ. Math. Mech. Inform., 12:3 (2012), 22–30
Citation in format AMSBIB
\Bibitem{BurKurKhr12}
\by M.~Sh.~Burlutskaya, V.~P.~Kurdyumov, A.~P.~Khromov
\paper Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 3
\pages 22--30
\mathnet{http://mi.mathnet.ru/isu308}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-3-22-30}
\elib{https://elibrary.ru/item.asp?id=22271128}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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