Guseinov, GSKaraca, IY2019-10-272019-10-2720040898-12211873-76680898-12211873-7668https://doi.org/10.1016/S0898-1221(04)00014-8https://hdl.handle.net/11454/36369In 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. (C) 2004 Elsevier Ltd. All rights reserved.en10.1016/S0898-1221(04)00014-8info:eu-repo/semantics/closedAccessHill's equationeigenvaluestabilityArticle4702.Mar319326WOS:000189226600014Q3