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Article . 1981
Full-Text: https://doi.org/10.1137/0141029
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SIAM Journal on Applied Mathematics
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SIAM Journal on Applied Mathematics
Article . 1981 . Peer-reviewed
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Resonance for Singular Perturbation Problems

Resonance for singular perturbation problems
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1981 United States English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Mathematics, volume 41, pages 331-344 (issn: 0036-1399, eissn: 1095-712X, Copyright policy )
Authors: Kreiss, Heinz-Otto;

doi: 10.1137/0141029

Resonance for Singular Perturbation Problems

Abstract

Consider the resonance for a second-order equation ey"-xpy’+ qy = 0. Another proof is given for the necessity of the Matkowsky condition and the connection with a regular eigenvalue problem is established. Also, if p, q are analytic, necessary and sufficient conditions are derived.

Country
United States
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Keywords

Nonlinear oscillations and coupled oscillators for ordinary differential equations, Nonlinear ordinary differential equations and systems, regular eigenvalue problem, Matkowsky condition, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
Green
bronze