Guseinov G.Sh.Karaca I.Y.2019-10-272019-10-2720040898-12210898-1221https://hdl.handle.net/11454/22704In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. © 2004 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessEigenvalueHill's equationStabilityArticle4702.Mar319326Q1