Guseinov, GSKaraca, IYMathematics2024-07-052024-07-0520040898-12211873-766810.1016/S0898-1221(04)90027-2https://doi.org/10.1016/S0898-1221(04)90027-2https://hdl.handle.net/20.500.14411/1094Karaca, ilkay yaslan/0000-0002-7018-2650In 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.eninfo:eu-repo/semantics/openAccessHill's equationeigenvaluestabilityArticleQ1472-3319326WOS:0001892266000143