A strong relaxation theorem for maximal monotone differential inclusions with memory

Nikolaos S. Papageorgiou

Archivum Mathematicum (1994)

  • Volume: 030, Issue: 4, page 227-235
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Papageorgiou, Nikolaos S.. "A strong relaxation theorem for maximal monotone differential inclusions with memory." Archivum Mathematicum 030.4 (1994): 227-235. <http://eudml.org/doc/247540>.

@article{Papageorgiou1994,
abstract = {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.},
author = {Papageorgiou, Nikolaos S.},
journal = {Archivum Mathematicum},
keywords = {maximal monotone operator; differential inclusion; continuous selector; “bang-bang” principle; relaxation theorem; maximal monotone differential inclusion with memory},
language = {eng},
number = {4},
pages = {227-235},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A strong relaxation theorem for maximal monotone differential inclusions with memory},
url = {http://eudml.org/doc/247540},
volume = {030},
year = {1994},
}

TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - A strong relaxation theorem for maximal monotone differential inclusions with memory
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 4
SP - 227
EP - 235
AB - 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.
LA - eng
KW - maximal monotone operator; differential inclusion; continuous selector; “bang-bang” principle; relaxation theorem; maximal monotone differential inclusion with memory
UR - http://eudml.org/doc/247540
ER -

References

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  14. Convergence theorems for set-valued conditional expectations, Comm. Math. Univ. Carol. 34 (1) (1993), in press. (1993) Zbl0788.60021MR1240208
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