Instability Intervals of a Hill's Equation with Piecewise Constant and Alternating Coefficient
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Date
2004
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Publisher
Elsevier Ltd
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Abstract
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.
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Keywords
Eigenvalue, Hill's equation, Stability
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Citation
3
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Q1
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Source
Computers and Mathematics with Applications
Volume
47
Issue
2-3
Start Page
319
End Page
326