Instability results for certain third order nonlinear vector differential equations
Texas State University-San Marcos, Department of Mathematics
Our goal in this paper is to obtain sufficient conditions for instability of the zero solution to the non-linear vector differential equation X˙˙˙ + F(X, Ẋ) Ẍ + G(Ẋ) + H(X) = 0. An example illustrates the results obtained.
Instability, Lyapunov's second (or direct) method, Nonlinear differential equations of third order
Tunç, C., & Tunç, E. (2006). Instability results for certain third order nonlinear vector differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(109), pp. 1-10.