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

In this paper, 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...

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Published inComputers & mathematics with applications (1987) Vol. 47; no. 2-3; pp. 319 - 326
Main Authors Guseinov, G SH, Karaca, I Y
Format Journal Article
LanguageEnglish
Published 01.01.2004
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Summary:In this paper, 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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ObjectType-Feature-1
ISSN:0898-1221
DOI:10.1016/S0898-1221(04)00014-8