Geodesic
A strong relaxation theorem for maximal monotone differential inclusions with memory
Archivum mathematicum, Tome 30 (1994) no. 4, pp. 227-235.

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We consider maximal monotone differential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a “bang-bang” principle for nonlinear control systems monitored by maximal monotone differential equations.
Classification : 34A60, 34H05, 34K35, 49J24
Keywords: maximal monotone operator; differential inclusion; continuous selector; “bang-bang” principle 
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     author = {Papageorgiou, Nikolaos S.},
     title = {A strong relaxation theorem for maximal monotone differential inclusions with memory},
     journal = {Archivum mathematicum},
     pages = {227--235},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {1994},
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     zbl = {0817.34010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1994__30_4_a0/}
}
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Papageorgiou, Nikolaos S. A strong relaxation theorem for maximal monotone differential inclusions with memory. Archivum mathematicum, Tome 30 (1994) no. 4, pp. 227-235. http://geodesic.mathdoc.fr/item/ARM_1994__30_4_a0/