%0 Journal Article %T Abstract %A Cemil Tunc %A Ercan Tunc %J Electronic Journal of Differential Equations %D 2006 %I Texas State University %X Our goal in this paper is to obtain sufficient conditions for instability of the zero solution to the non-linear vector differential equation $$ dddot{X}+F(X,dot{X})ddot{X}+G(dot{X})+H(X)=0. $$ An example illustrates the results obtained. %K Instability %K Lyapunov's second (or direct) method %K nonlinear differential equations of third order. %U http://ejde.math.txstate.edu/Volumes/2006/109/abstr.html