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

Abstract

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 $x\rightarrow\infty$, and unboundedness of solutions.