On the stability of a nonhomogeneous vector differential equation of the fourth-order

摘要

This paper determines sufficient conditions under which all solutions ofX(4)+F(Ẋ,Ẍ)X⃛+Φ(Ẍ)+G(Ẋ)+A4X=P(t,X,Ẋ,Ẍ,X⃛)tend to zero as t→∞.