On the existence of periodic solutions for nonconvex differential inclusions

Dimitrios Kravvaritis; Nikolaos S. Papageorgiou

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 1, page 1-8
  • ISSN: 0044-8753

Abstract

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Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.

How to cite

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Kravvaritis, Dimitrios, and Papageorgiou, Nikolaos S.. "On the existence of periodic solutions for nonconvex differential inclusions." Archivum Mathematicum 032.1 (1996): 1-8. <http://eudml.org/doc/247856>.

@article{Kravvaritis1996,
abstract = {Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.},
author = {Kravvaritis, Dimitrios, Papageorgiou, Nikolaos S.},
journal = {Archivum Mathematicum},
keywords = {lower semicontinuous multifunction; $C_M$-continuous selector; tangent cone; contingent derivative; Filippov regularization; fixed point; lower semicontinuous set-valued map; directionally continuous selection; differential inclusion; tangent cone},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the existence of periodic solutions for nonconvex differential inclusions},
url = {http://eudml.org/doc/247856},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Kravvaritis, Dimitrios
AU - Papageorgiou, Nikolaos S.
TI - On the existence of periodic solutions for nonconvex differential inclusions
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 1
SP - 1
EP - 8
AB - Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.
LA - eng
KW - lower semicontinuous multifunction; $C_M$-continuous selector; tangent cone; contingent derivative; Filippov regularization; fixed point; lower semicontinuous set-valued map; directionally continuous selection; differential inclusion; tangent cone
UR - http://eudml.org/doc/247856
ER -

References

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  10. Measure and Category, Springer, New York (1971). (1971) Zbl0217.09201MR0584443
  11. On the attainable set of differential inclusions and control systems, J. Math. Anal. Appl. 125 (1987), 305-322. (1987) Zbl0636.49018MR0896170
  12. Viable and periodic trajectories for differential inclusions in Banach spaces, Kobe Jour. Math. 5 (1988), 29-42. (1988) MR0988577
  13. On the existence of ψ -minimal viable solutions for a class of differential inclusions, Archivum Mathematicum (Brno) 27 (1991), 175-182. (1991) Zbl0759.34014MR1189213

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