Global asymptotic stability of certain third-order nonlinear differential equations

摘要

In this paper, we give some sufficient conditions to guarantee global asymptotic stability of the zero solution of the third-order nonlinear differential equation: x ′ ′ ′ + g(x,x ′,x ′ ′) + f(x,x ′)x ′ + h(x) = 0. Two examples are also given to illustrate our results.