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On the asymptotic behavior of solutions of certain third-order nonlinear differential equations. (English) Zbl 1077.34052
Summary: We establish sufficient conditions under which all solutions of the third-order nonlinear differential equation x +ψ(x,x ˙,x ¨)x ¨+f(x,x ˙)=p(t,x,x ˙,x ¨) are bounded and converge to zero as t.
MSC:
34D05Asymptotic stability of ODE
34C11Qualitative theory of solutions of ODE: growth, boundedness
34D23Global stability of ODE