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Instability intervals of Hill's equation with piecewise constant and alternating coefficient

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Publication:1433112
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DOI10.1016/S0898-1221(04)90027-2zbMath1057.34105MaRDI QIDQ1433112

Gusein Sh. Guseinov, Ilkay Yaslan Karaca

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

stabilityeigenvalueHill's equation


Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)


Related Items

Using Fourier coefficients to determine the unstable points of Hill equation, Asymptotic estimates for the spectral gaps of the Schrödinger operators with periodic \(\delta'\)-interactions



Cites Work

  • A Special Hill's Equation with Discontinuous Coefficients
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