Boundedness and Asymptotic Behaviour of Solutions of a Second Order Nonlinear Differential Equation

This paper considers asymptotic behaviour of solutions of a nonlinear differential equation of second order where the coefficient of nonlinearity is a bounded function for arbitrarily large values of $x$ in $mathbb{R}$. Here we obtained sufficient conditions for boundedness, convergence of solutions to zero as $x ightarrowinfty$, and unboundedness of solutions.