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The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations

Eduardo LizJuan J. Nieto — 1993

Commentationes Mathematicae Universitatis Carolinae

In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.

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