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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 662–675 (Mi smj2116)  
This article is cited in 12 scientific papers (total in 12 papers)

Asymptotic behavior of the solutions and nodal points of Sturm–Liouville differential expressions

A. Yu. Trynin

Saratov State University named after N. G. Chernyshevsky, Faculty of Mathematics and Mechanics, Saratov
Full-text PDF (306 kB) Citations (12)
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Abstract: We obtain asymptotic formulas for the values of second-order differential operators with the coefficient of bounded variation depending on the spectral parameter. We give a counterexample showing that the requirement of boundedness for the variation is essential for the preservation of the error of the so-obtained asymptotic formulas.
Keywords: differential operator, asymptotic formula, bounded variation.
Received: 30.09.2007
Revised: 27.10.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 525–536
DOI: https://doi.org/10.1007/s11202-010-0055-y
Bibliographic databases:
Document Type: Article
UDC: 517.5+517.925.44
Language: Russian
Citation: A. Yu. Trynin, “Asymptotic behavior of the solutions and nodal points of Sturm–Liouville differential expressions”, Sibirsk. Mat. Zh., 51:3 (2010), 662–675; Siberian Math. J., 51:3 (2010), 525–536
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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