Geodesic
Periodic solutions for differential inclusions in ${\Bbb R}^N$
Archivum mathematicum, Tome 42 (2006) no. 2, pp. 115-123.

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We consider first order periodic differential inclusions in $\mathbb {R}^N$. The presence of a subdifferential term incorporates in our framework differential variational inequalities in $\mathbb {R}^N$. We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.
Classification : 34A60, 34C25
Keywords: multifunction; convex subdifferential; extremal periodic solution; Moreanu-Yosida approximation. 
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     author = {Filippakis, Michael E. and Papageorgiou, Nikolaos S.},
     title = {Periodic solutions for differential inclusions in ${\Bbb R}^N$},
     journal = {Archivum mathematicum},
     pages = {115--123},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2006},
     mrnumber = {2240188},
     zbl = {1164.34320},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_2_a1/}
}
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Filippakis, Michael E.; Papageorgiou, Nikolaos S. Periodic solutions for differential inclusions in ${\Bbb R}^N$. Archivum mathematicum, Tome 42 (2006) no. 2, pp. 115-123. http://geodesic.mathdoc.fr/item/ARM_2006__42_2_a1/