Almost sure exponential stability for time-changed stochastic differential equations
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Authors
Yongxiang Zhu
- College of Traffic Engineering, Hunan University of Technology, Zhuzhou, Hunan, 412007, China.
Min Zhu
- College of Traffic Engineering, Hunan University of Technology, Zhuzhou, Hunan, 412007, China.
- School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, China.
Junping Li
- School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, China.
Abstract
Some sufficient conditions for almost sure exponential stability of solutions to time-changed stochastic differential equations (SDEs) are presented.
The principle technique of our investigation is to construct a proper Lyapunov function and carry out generalized Lyapunov methods to time-changed SDEs. In contrast to the almost sure exponential stability in existing articles, we present new results on the stability of solutions to time-changed SDEs. Finally, an example is given to demonstrate the effectiveness of our work.
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ISRP Style
Yongxiang Zhu, Min Zhu, Junping Li, Almost sure exponential stability for time-changed stochastic differential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5985--5998
AMA Style
Zhu Yongxiang, Zhu Min, Li Junping, Almost sure exponential stability for time-changed stochastic differential equations. J. Nonlinear Sci. Appl. (2017); 10(11):5985--5998
Chicago/Turabian Style
Zhu, Yongxiang, Zhu, Min, Li, Junping. "Almost sure exponential stability for time-changed stochastic differential equations." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5985--5998
Keywords
- Time-changed stochastic differential equations
- almost sure exponential stability
- time-changed Brownian motion
MSC
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