In this paper,the authors study a kind of non-linear third-order delay differential equations as follows,x+ g( x,x) x + f( x( t-τ1( t))) + h(x) φ( x( t-τ2( t))) = p( t,x,x,x). By using the second method of Lyapunov,the researchers establish some sufficient conditions for the global asymptotic stability of the zero solution and the boundedness of all solutions to it.
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