Geodesic
Boundary value problems and periodic solutions for semilinear evolution inclusions
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 325-336.

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We consider boundary value problems for semilinear evolution inclusions. We establish the existence of extremal solutions. Using that result, we show that the evolution inclusion has periodic extremal trajectories. These results are then applied to closed loop control systems. Finally, an example of a semilinear parabolic distributed parameter control system is worked out in detail.
Classification : 34A60, 34B15, 34G20, 34H05, 47N20, 49J24, 93C15
Keywords: evolution operator; multifunction; Hausdorff metric; extremal solution; periodic solution; Fredholm alternative; control system; parabolic system 
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     author = {Papageorgiou, Nikolaos S.},
     title = {Boundary value problems and periodic solutions for semilinear evolution inclusions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {325--336},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {1994},
     mrnumber = {1286579},
     zbl = {0807.34077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_2_a12/}
}
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Papageorgiou, Nikolaos S. Boundary value problems and periodic solutions for semilinear evolution inclusions. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 325-336. http://geodesic.mathdoc.fr/item/CMUC_1994__35_2_a12/