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

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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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

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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/uzeru75

https://www.mathnet.ru/eng/uzeru/y2013/i3/p3

Erratum

On an incorrectness in the paper “Asymptotics of the Norming Constants of the Sturm–Liouville Problem”
T. N. Harutyunyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2015:2, 66

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Abstract page:	135
Full-text PDF :	40
References:	38

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