Abstract
We introduce a notion of the conflict dynamical system in terms of probability measures, study the behavior of trajectories of such systems, and prove the existence theorems of the ω-limit states.
Key words: Conflict dynamical system, ω-state, signed measure, Hahn–Jordan decomposition.
Full Text
Article Information
| Title | Existence theorems of the ω-limit states for conflict dynamical systems |
| Source | Methods Funct. Anal. Topology, Vol. 20 (2014), no. 4, 379-390 |
| MathSciNet |
MR3309674 |
| zbMATH |
1324.37039 |
| Milestones | Received 01/04/2014; Revised 02/07/2014 |
| Copyright | The Author(s) 2014 (CC BY-SA) |
Authors Information
Volodymyr Koshmanenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
Citation Example
Volodymyr Koshmanenko, Existence theorems of the ω-limit states for conflict dynamical systems, Methods Funct. Anal. Topology 20
(2014), no. 4, 379-390.
BibTex
@article {MFAT744,
AUTHOR = {Koshmanenko, Volodymyr},
TITLE = {Existence theorems of the ω-limit states for conflict dynamical systems},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {20},
YEAR = {2014},
NUMBER = {4},
PAGES = {379-390},
ISSN = {1029-3531},
MRNUMBER = {MR3309674},
ZBLNUMBER = {1324.37039},
URL = {http://mfat.imath.kiev.ua/article/?id=744},
}
