Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties
American Journal of Applied Mathematics
Volume 1, Issue 4, October 2013, Pages: 49-54
Received: Sep. 9, 2013; Published: Oct. 30, 2013
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Authors
Sashka Petkova, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
Andrey Antonov, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
Rumyana Chukleva, Technical University of Sofia, Sofia, Bulgaria
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Abstract
The initial value problems for autonomous systems of differential equations are the main object of this paper. Different variants of the concept reachable sets for the solutions of such systems are introduced. Several conditions for their existence are found and some properties are studied.
Keywords
Autonomous Differential Equations, Reachable Sets
To cite this article
Sashka Petkova, Andrey Antonov, Rumyana Chukleva, Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties, American Journal of Applied Mathematics. Vol. 1, No. 4, 2013, pp. 49-54. doi: 10.11648/j.ajam.20130104.13
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