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.
| Published in | American Journal of Applied Mathematics (Volume 1, Issue 4) |
| DOI | 10.11648/j.ajam.20130104.13 |
| Page(s) | 49-54 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2013. Published by Science Publishing Group |
Autonomous Differential Equations, Reachable Sets
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APA Style
Sashka Petkova, Andrey Antonov, Rumyana Chukleva. (2013). Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties. American Journal of Applied Mathematics, 1(4), 49-54. https://doi.org/10.11648/j.ajam.20130104.13
ACS Style
Sashka Petkova; Andrey Antonov; Rumyana Chukleva. Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties. Am. J. Appl. Math. 2013, 1(4), 49-54. doi: 10.11648/j.ajam.20130104.13
AMA Style
Sashka Petkova, Andrey Antonov, Rumyana Chukleva. Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties. Am J Appl Math. 2013;1(4):49-54. doi: 10.11648/j.ajam.20130104.13
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Download@article{10.11648/j.ajam.20130104.13,
author = {Sashka Petkova and Andrey Antonov and Rumyana Chukleva},
title = {Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties},
journal = {American Journal of Applied Mathematics},
volume = {1},
number = {4},
pages = {49-54},
doi = {10.11648/j.ajam.20130104.13},
url = {https://doi.org/10.11648/j.ajam.20130104.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130104.13},
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.},
year = {2013}
}
TY - JOUR T1 - Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties AU - Sashka Petkova AU - Andrey Antonov AU - Rumyana Chukleva Y1 - 2013/10/30 PY - 2013 N1 - https://doi.org/10.11648/j.ajam.20130104.13 DO - 10.11648/j.ajam.20130104.13 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 49 EP - 54 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20130104.13 AB - 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. VL - 1 IS - 4 ER -
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