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
Open Access Color
HYBRID
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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.
Description
Keywords
Eigenvalue, Hill's equation, Stability, Computational Mathematics, Hill's equation, Computational Theory and Mathematics, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Modelling and Simulation, Eigenvalue, eigenvalue, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, stability, Stability, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
3
Source
Computers and Mathematics with Applications
Volume
47
Issue
2-3
Start Page
319
End Page
326
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CrossRef : 1
Scopus : 3
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3
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3
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