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On the Width of the Instability Intervals of the Mathieu Equation

✍ Scribed by Hochstadt, Harry


Book ID
118202274
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
188 KB
Volume
15
Category
Article
ISSN
0036-1410

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For a Mathieu equation with parameter q, the eigenvalues can be regarded as functions of the variable q. Our aim is to ΓΏnd q when adjacent eigenvalues of the same type become equal yielding double points of the given Mathieu equation. The problem reduces to an equivalent eigenvalue problem of the fo