Periodic solutions for differential inclusions in ℝ N

Michael E. Filippakis; Nikolaos S. Papageorgiou

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 2, page 115-123
  • ISSN: 0044-8753

Abstract

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We consider first order periodic differential inclusions in ℝ N . The presence of a subdifferential term incorporates in our framework differential variational inequalities in ℝ N . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.

How to cite

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Filippakis, Michael E., and Papageorgiou, Nikolaos S.. "Periodic solutions for differential inclusions in ${\mathbb {R}}^N$." Archivum Mathematicum 042.2 (2006): 115-123. <http://eudml.org/doc/249772>.

@article{Filippakis2006,
abstract = {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.},
author = {Filippakis, Michael E., Papageorgiou, Nikolaos S.},
journal = {Archivum Mathematicum},
keywords = {multifunction; convex subdifferential; extremal periodic solution; Moreanu-Yosida approximation; multifunction; convex subdifferential; extremal periodic solution; Moreanu-Yosida approximation},
language = {eng},
number = {2},
pages = {115-123},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Periodic solutions for differential inclusions in $\{\mathbb \{R\}\}^N$},
url = {http://eudml.org/doc/249772},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Filippakis, Michael E.
AU - Papageorgiou, Nikolaos S.
TI - Periodic solutions for differential inclusions in ${\mathbb {R}}^N$
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 2
SP - 115
EP - 123
AB - 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.
LA - eng
KW - multifunction; convex subdifferential; extremal periodic solution; Moreanu-Yosida approximation; multifunction; convex subdifferential; extremal periodic solution; Moreanu-Yosida approximation
UR - http://eudml.org/doc/249772
ER -

References

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  11. Hu S., Papageorgiou N. S., Handbook of Multivalued Analysis. Volume I: Theory, Kluwer, Dordrecht, The Netherlands (1997). (1997) Zbl0887.47001MR1485775
  12. Hu S., Papageorgiou N. S., Handbook of Multivalued Analysis. Volume II: Applications, Kluwer, Dordrecht, The Netherlands (2000). Zbl0943.47037MR1741926
  13. Li C., Xue X., On the existence of periodic solutions for differential inclusions, J. Math. Anal. Appl. 276 (2002), 168–183. Zbl1020.34015MR1944344
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