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

Boris P. Belinskiy, John V. Matthews
2009 Electronic Journal of Qualitative Theory of Differential Equations  
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.
doi:10.14232/ejqtde.2009.4.7 fatcat:r6rrn5p4tjfobf3lm5idjtcbky