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DZHALLADOVA, I. RŮŽIČKOVÁ, M. ŠTOUDKOVÁ RŮŽIČKOVÁ, V.
Original Title
Stability of the zero solution of nonlinear differential equations under the influence of white noise
Type
journal article in Web of Science
Language
English
Original Abstract
The paper deals with a system of nonlinear differential equations under the influence of white noise. This system can be used as a mathematical model of various real problems in finance, mathematical biology, climatology, signal theory and others. Necessary and sufficient conditions for the asymptotic mean square stability of the zero solution of this system are derived in the paper. The paper introduces a new approach to studying such problems - construction of a suitable deterministic system with the use of Lyapunov function.
Keywords
stochastic systems; white noise; mean square stability; Lyapunov function
Authors
DZHALLADOVA, I.; RŮŽIČKOVÁ, M.; ŠTOUDKOVÁ RŮŽIČKOVÁ, V.
RIV year
2015
Released
7. 5. 2015
Publisher
SpringerOpen
ISBN
1687-1847
Periodical
Advances in Difference Equations
Year of study
Number
143
State
United States of America
Pages count
10
URL
http://www.advancesindifferenceequations.com/content/2015/1/143
Full text in the Digital Library
http://hdl.handle.net/11012/137371
BibTex
@article{BUT114441, author="Irada {Dzhalladova} and Miroslava {Růžičková} and Viera {Štoudková Růžičková}", title="Stability of the zero solution of nonlinear differential equations under the influence of white noise", journal="Advances in Difference Equations", year="2015", volume="2015", number="143", pages="10", doi="10.1186/s13662-015-0482-y", issn="1687-1847", url="http://www.advancesindifferenceequations.com/content/2015/1/143" }