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Publisher: Elsevier LtdSubject: Stability

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    Citation - Scopus: 3
    Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient
    (Elsevier Ltd, 2004) Guseinov,G.Sh.; Karaca,I.Y.
    In 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.