On Behaviour of Solutions for Third Order Nonlinear Ordinary Differential Equations with Damping Terms

In this work, we consider (r(t)y '')' + q(t)k(y') + p(t)h(y) = f (t) where r(t) > 0, f (t) >= 0 are real-valued continuous functions of [0, infinity), k(y') and h(y) is a continuous function of y' E (-infinity, infinity) such that k(y')y' > 0 for y' not equal 0 and h(y)y > 0 for y not equal 0. We obtain sufficient conditions so that solutions of considered equations are nonoscillatory.