Journal of the Australian Mathematical Society

Table of Contents - 1965 - Volume 5, Issue 01  

Research Article

On the stability of a second-order differential equation

D. E. Daykina1 and K. W. Changa1

a1 University of Malaya, Kuala Lumpur.

Abstract

In this note we discuss the stability at the origin of the solutions of the differential equation

S1446788700025817_eqn1

where a dot indicates a differentiation with respect to time, and α, β are real-valued functions of any arguments. We tacitly assume that α, β are such that solutions to (1) do in fact exist. Under the transformation
S1446788700025817_eqn2

equation (1) takes the equivalent familiar form
S1446788700025817_eqn3

.

(Received September 10 1964)