Geodesic
On a property of norming constants of Sturm–Liouville problem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2014), pp. 3-7.

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A connection, which shows the dependence of norming constants on boundary conditions, was found using the Gelfand–Levitan method for the solution of inverse Sturm–Liouville problem.
Keywords: eigenvalues, norming constants.
Mots-clés : Sturm–Liouville problem 
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Yu. A. Ashrafyan; T. N. Harutyunyan. On a property of norming constants of Sturm–Liouville problem. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2014), pp. 3-7. http://geodesic.mathdoc.fr/item/UZERU_2014_3_a0/

[1] M.A. Naimark, Linear Differential Operators, Nauka, M., 1969 (in Russian) | MR

[2] I.M. Gel’fand, B.M. Levitan, “On the Determination of a Differential Equation from its Spectral Function”, Izv. Akad. Nauk. SSSR. Ser Mat., 15 (1951), 253–304 (in Russian) | MR

[3] V.A. Yurko, An Introductions to the Theory of Inverse Spectral Problems, Fizmatlit, M., 2007 (in Russian)

[4] E.L. Isaacson, E. Trubowitz, “The Inverse Sturm–Liouville Problem, I”, Com. Pure and Appl. Math., 36 (1983), 767–783 | DOI | MR | Zbl

[5] T.N. Harutyunyan, “Representation of the Norming Constants by Two Spectra”, Electronic Journal of Differential Equations, 2010, no. 159, 1–10 | MR