Regularity properties of Runge-Kutta methods for delay differential equations Original Research Article

Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations. Such methods are said to be strongly regular. A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method.