ASYMPTOTICS OF THE NORMING CONSTANTS OF THE STURM–LIOUVILLE PROBLEM

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ASYMPTOTICS OF THE NORMING CONSTANTS OF THE STURM–LIOUVILLE PROBLEM T.N. Harutyunyan

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.

DOI: 10.46991/PYSUA.2013.47.3.003 Physical and Mathematical Sciences, 47(3 (232) 3-11

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Keywords

Sturm–Liouville problem, norming constants, asymptotics of the solutions, asymptotics of spectral data

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