Abstract
The stability of the solution to a periodically time-varying equation can depend critically upon very small changes in its parameters. Moreover, unlike constant coefficient equations, the dependence of stability upon a particular parameter can be complicated in that there are often ranges of parameter values for which a periodic system is unstable, separated by regions of stability. As a result, the problem of stability of periodically time-varying systems has received detailed attention in the past, especially for systems of second order. Additionally, many applications involving Hill equations rely principally upon stability and to a lesser extent upon the actual forms of solution, thereby adding to the interest shown in this aspect of parametric behaviour.
Keywords
Order System Periodic System Stability Diagram Characteristic Exponent Hill EquationPreview
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