Bounded Solutions of the Second Order Differential Equation x ̈+f(x) x ̇+g(x)=u(t)

Abstract

In this paper we prove the boundedness of the solutions and their derivatives of the second order ordinary differential equation x ̈+f(x) x ̇+g(x)=u(t), under certain conditions on f,g and u. Our results are generalization of those given in [1].