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 R. Here we obtained sufficient conditions for boundedness, convergence of solutions to zero as x → ∞, and unboundedness of solutions.

This paper considers the stability of differential equation of Mackey-Glass type in the sense of Hyers and Ulam with initial condition. It also considers the Hyers-Ulam stability of Lasota equation with initial condition. Some illustrative examples are given.

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In this paper we established the Hyers-Ulam stability of a nonlinear differential equation of second order with initial condition. We also proved the Hyers -Ulam stability of a linear differential equation of second order with initial condition.

In this paper we have established the stability of a generalized nonlinear second-order differential equation in the sense of Hyers and Ulam. We also have proved the Hyers-Ulam stability of Emden-Fowler type equation with initial conditions.