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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2013, Issue 3, Pages 3–11 (Mi uzeru75)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Asymptotics of the norming constants of the Sturm–Liouville problem

T. N. Harutyunyan

Yerevan State University
Full-text PDF (160 kB) Citations (2)
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Abstract: We derive new asymptotic formulae for the norming constants of Sturm–Liouville problem, which generalize and make more precise previously known formulae, by taking into account the smooth dependence of norming constants on boundary conditions.
Keywords: Sturm–Liouville problem, norming constants, asymptotics of the solutions, asymptotics of spectral data.
Received: 21.08.2013
Accepted: 25.09.2013
Document Type: Article
MSC: Primary 34B24; Secondary 34L20
Language: English
Citation: T. N. Harutyunyan, “Asymptotics of the norming constants of the Sturm–Liouville problem”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 3, 3–11
Citation in format AMSBIB
\Bibitem{Har13}
\by T.~N.~Harutyunyan
\paper Asymptotics of the norming constants of the Sturm–Liouville problem
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2013
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/uzeru75}
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  • https://www.mathnet.ru/eng/uzeru/y2013/i3/p3
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    This publication is cited in the following 2 articles:
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    Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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    Full-text PDF :34
    References:26
     
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