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.
@article{118596, author = {Eduardo Liz and Juan J. Nieto}, title = {The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {34}, year = {1993}, pages = {405-411}, zbl = {0780.34006}, mrnumber = {1243071}, language = {en}, url = {http://dml.mathdoc.fr/item/118596} }
Liz, Eduardo; Nieto, Juan J. The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 405-411. http://gdmltest.u-ga.fr/item/118596/
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