B. P. Belinskiy and J. V. Matthews: Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter

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

B. P. Belinskiy, The University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.
J. V. Matthews, The University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 7., pp. 1-15.

Communicated by P. Eloe.

Received on 2009-06-29
Appeared on 2009-10-01

Abstract: 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.

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