Geodesic
The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 405-411

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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.
Classification : 34A37, 34A45, 34B15, 34C25, 34D45
Keywords: impulsive differential equations; periodic boundary value problem; monotone iterative technique 
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     author = {Liz, E. and Nieto, Juan J.},
     title = {The monotone iterative technique for periodic boundary value problems  of second order impulsive differential equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {405--411},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {1993},
     mrnumber = {1243071},
     zbl = {0780.34006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a1/}
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Liz, E.; 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) no. 3, pp. 405-411. http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a1/