Periodic problem of first order nonlinear uncertain dynamic systems
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Authors
Yongzhao Wang
- School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, China.
Qian Liu
- School of Civil Engineering and Architecture, Anyang University, Anyang, 455000, China.
Qiansheng Feng
- Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, 223003, China.
Abstract
The solution to fuzzy differential equation
is very important for solving the uncertainly practical problems in the real world.
In this paper, the definition of solution for periodic problems of
fuzzy differential equations based on the theory of differential inclusions is given.
Using the theory of differential inclusions, function analysis and
Kakutani Fixed point theorem, an existence theorem of periodic solutions to first order uncertain
dynamical systems is obtained in a more general set.
Share and Cite
ISRP Style
Yongzhao Wang, Qian Liu, Qiansheng Feng, Periodic problem of first order nonlinear uncertain dynamic systems, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 12, 6288--6297
AMA Style
Wang Yongzhao, Liu Qian, Feng Qiansheng, Periodic problem of first order nonlinear uncertain dynamic systems. J. Nonlinear Sci. Appl. (2017); 10(12):6288--6297
Chicago/Turabian Style
Wang, Yongzhao, Liu, Qian, Feng, Qiansheng. "Periodic problem of first order nonlinear uncertain dynamic systems." Journal of Nonlinear Sciences and Applications, 10, no. 12 (2017): 6288--6297
Keywords
- Fuzzy number
- uncertain dynamical system
- Kakutani fixed point theorem
- differential inclusion
MSC
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