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On a problem of Hartman and Wintner

Published online by Cambridge University Press:  14 November 2011

N. Chernyavskaya
N. Chernyavskaya
Affiliation:
Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, P.O.B. 653, Beer-Sheva, 84105, Israel; Department of Agricultural Economics and Management, The Hebrew University of Jerusalem, P.O.B. 12, Rehovot 76100, Israel, e-mail: nina@math.bgu.ac.il
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 5 , 1998 , pp. 1007 - 1022
Copyright
Copyright © Royal Society of Edinburgh 1998

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