This paper considers a nonlinear integro-differential equation of third order with delay. We establish sufficient conditions which guarantee the globally existence and boundedness of the solutions of the equation considered. ...

We consider the equation X⁽⁴⁾ + Φ(X'')X''' + F(X, X')X'' + G(X') + H(X) = P(t, X, X', X'', X''') in two cases: P ≡ 0 and P ≠ 0. In the case P ≡ 0, the asymptotic stability of the zero solution X = 0 of the equation is ...