Stationary phase theory and passage through resonance (Q1353820)

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scientific article; zbMATH DE number 1005707
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Stationary phase theory and passage through resonance
scientific article; zbMATH DE number 1005707

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    Stationary phase theory and passage through resonance (English)
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    20 October 1997
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    A uniformly valid asymptotic expansion for Fourier integrals is investigated. The results are used to study the asymptotic behaviour of the solution of a class of differential equations over an interval that includes a point of resonance. A previously unidentified structure of the uniform asymptotic solution is obtained.
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    Fourier integrals
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    asymptotic behaviour
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    point of resonance
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