On the stability of linear nonconservative systems
W. Kliem, Chr. Pommer · Quarterly of Applied Mathematics · 1986
For a system of linear second-order differential equations, a stability criterion is derived which gives a simple relation between eigenvalues of two of the coefficient matrices and an estimate of the lower bound | λ | min {\left | \lambda \right |_{\min }} of the eigenvalue for the nonlinear eigenvalue problem of the total system. Estimations of | λ | min {\left | \lambda \right |_{\min }} are given, and applications of the stability criterion are shown by numerical examples.