Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient

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2004

Authors

Guseinov,G.Sh.
Hüseyin, Hüseyin Şirin
Karaca,I.Y.

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Elsevier Ltd

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Mathematics
(2000)
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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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Source

Computers and Mathematics with Applications

Volume

47

Issue

2-3

Start Page

319

End Page

326

URI

https://doi.org/10.1016/s0898-1221(04)90027-2
 https://hdl.handle.net/20.500.14411/3529

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