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.
|Number of pages||16|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|State||Published - 1 Jan 1998|