On a problem of Hartman and Wintner

N. Chernyavskaya

doi:10.1017/S0308210500030031

On a problem of Hartman and Wintner

N. Chernyavskaya

Department of Mathematics

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3 Scopus citations

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 language	English
Pages (from-to)	1007-1022
Number of pages	16
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	128
Issue number	5
DOIs	https://doi.org/10.1017/S0308210500030031
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Mathematics (all)

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title = "On a problem of Hartman and Wintner",

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.",

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AB - 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.

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U2 - 10.1017/S0308210500030031

DO - 10.1017/S0308210500030031

M3 - Article

AN - SCOPUS:22444456334

SN - 0308-2105

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 5

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On a problem of Hartman and Wintner

Abstract

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