Localization of invariant compact sets in differential inclusions

Localization of invariant compact sets in differential inclusions

The functional method of localization of invariant compact sets, which was earlier suggested for continuous and discrete systems, is generalized to differential inclusions. This method is applied to discontinuous systems of differential equations and systems of differential equations with uncertaint...

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Veröffentlicht in:Differential equations 2015-11, Vol.51 (11), p.1425-1431
1. Verfasser: Kanatnikov, A. N.
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Difference and Functional Equations
Differential equations
Discrete systems
Dynamical systems
Inclusions
Invariants
Localization
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Neighborhoods
Ordinary Differential Equations
Partial Differential Equations
Position (location)
Studies
Uncertainty
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Beschreibung
Zusammenfassung:The functional method of localization of invariant compact sets, which was earlier suggested for continuous and discrete systems, is generalized to differential inclusions. This method is applied to discontinuous systems of differential equations and systems of differential equations with uncertainty, treated as differential inclusions.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115110038