Monotone iterative method for differential equations with piecewise constant arguments
Periodic boundary value problems for differential equations with piecewise constant arguments are considered. Such equations are closely related to impulse and loaded equations and, especially, to difference equations of a discrete argument. They have the structure of continuous dynamical systems within intervals of certain length. The method of upper and lower solutions coupled with the monotone iterative technique is used to obtain existence and approximation results.
scientific article; zbMATH DE number 1416590