Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter

We study three internally connected Sturm-Liouville problems for nonlinear ordinary differential equations that are motivated by the problem of aeroelastic instability. Solutions are analyzed and asymptotic results are presented. A numerical study using a development of simple shooting reveals the s...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2009-01, Vol.2009 (7), p.1-15
Main Authors: Belinskiy, Boris P., Matthews, John V.
Format: Article
Language:English
Online Access:Get full text
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Summary:We study three internally connected Sturm-Liouville problems for nonlinear ordinary differential equations that are motivated by the problem of aeroelastic instability. Solutions are analyzed and asymptotic results are presented. A numerical study using a development of simple shooting reveals the spectrum and corresponding eigenfunctions.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2009.4.7