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

Proceedings of the YSU, Physical and Mathematical Sciences, 2013 Issue 3, Pages 3–11 (Mi uzeru75)

This article is cited in 2 papers

Mathematics

Asymptotics of the norming constants of the Sturm–Liouville problem

T. N. Harutyunyan

Yerevan State University

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.

MSC: Primary 34B24; Secondary 34L20

Received: 21.08.2013
Accepted: 25.09.2013

Language: English



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