Guseinov,G.Sh.Hüseyin, Hüseyin ŞirinKaraca,I.Y.Mathematics2024-07-052024-07-05200430898-122110.1016/s0898-1221(04)90027-22-s2.0-1242307414https://doi.org/10.1016/s0898-1221(04)90027-2https://hdl.handle.net/20.500.14411/3529In 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/openAccessEigenvalueHill's equationStabilityArticleQ1472-3319326