On a problem of Hartman and Wintner

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Abstract

The Hartman-Wintner problem on asymptotic equivalence of fundamental systems of solutions (FSSs) for two Sturm-Liouville equations is studied. The following results are obtained: a criterion of asymptotic equivalence of FSSs, and sufficient conditions of asymptotic equivalence of FSSs which are expressed in terms of the coefficients of the considered equations only.

Original languageEnglish
Pages (from-to)1007-1022
Number of pages16
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume128
Issue number5
DOIs
StatePublished - 1 Jan 1998

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