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On the stability of a second-order differential equation
Published online by Cambridge University Press: 09 April 2009
Extract
In this note we discuss the stability at the origin of the solutions of the differential equation 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 equation (1) takes the equivalent familiar form .
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- Copyright © Australian Mathematical Society 1965
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