Error Bounds in the Method of Averaging Based on Properties of Average Motion
Copyright policy )Error Bounds in the Method of Averaging Based on Properties of Average Motion
In applying asymptotic methods such as the averaging method, upper bounds for the deviation of the approximate solution from the exact solution can be derived. In this paper the dependence of such bounds on properties of the average system is discussed. A simple example illustrates the usefulness of the resulting bounds.
Averaging method for ordinary differential equations, Volterra integral equations, average motion, error bounds, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
Averaging method for ordinary differential equations, Volterra integral equations, average motion, error bounds, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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