Abstract
By using Lyapunov’s function approach [13], some new results were established, which guarantee that the zero solution of non-linear vector differential equations of the form X(5)+a(t)Ψ(X˙,X¨)X⃛+b(t)Φ(X,X˙,X¨,X⃛,X(4))+c(t)Θ(X˙)+F(X)=0 is unstable.
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