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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 270, Pages 188–197 (Mi tm3026)  
This article is cited in 10 scientific papers (total in 10 papers)

Spectral properties of a fourth-order differential operator with integrable coefficients

S. I. Mitrokhin

Research Computer Center, Moscow State University, Moscow, Russia
Full-text PDF (188 kB) Citations (10)
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Abstract: The aim of this paper is to study spectral properties of differential operators with integrable coefficients and a constant weight function. We analyze the asymptotic behavior of solutions to a differential equation with integrable coefficients for large values of the spectral parameter. To find the asymptotic behavior of solutions, we reduce the differential equation to a Volterra integral equation. We also obtain asymptotic formulas for the eigenvalues of some boundary value problems related to the differential operator under consideration.
Received in September 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 270, Pages 184–193
DOI: https://doi.org/10.1134/S0081543810030144
Bibliographic databases:
Document Type: Article
UDC: 517.927
Language: Russian
Citation: S. I. Mitrokhin, “Spectral properties of a fourth-order differential operator with integrable coefficients”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 270, MAIK Nauka/Interperiodica, Moscow, 2010, 188–197; Proc. Steklov Inst. Math., 270 (2010), 184–193
Citation in format AMSBIB
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\paper Spectral properties of a~fourth-order differential operator with integrable coefficients
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
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\vol 270
\pages 188--197
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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