Convergence to Equilibria in a Differential Equation with Small Delay
نویسنده
چکیده
Consider the delay differential equation (1) ẋ(t) = g(x(t), x(t − r)), where r > 0 is a constant and g : 2 → is Lipschitzian. It is shown that if r is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.
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