On the boundedness of the solutions of the equationdddot x + addot x + f(x)dot x + g(x) = p(t)

Summary In this paper my previous result [1] on the boundedness of solutions of (1.1.1) is fackled by use of a suitably chosen Liapounov function. This fresh approach leads to a more direct proof of the boundedness Theorem and makes for substantial reduction in each of my previous conditions on f and g.