About this Journal Submit a Manuscript Table of Contents
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 206438, 20 pages
http://dx.doi.org/10.1155/2012/206438
Research Article

Stochastic Functional Differential Equation under Regime Switching

Institute of Mathematics Science, Jilin University, Changchun 130012, China

Received 6 April 2012; Revised 24 June 2012; Accepted 4 July 2012

Academic Editor: Victor S. Kozyakin

Copyright © 2012 Ling Bai and Zhang Kai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. X. Mao and C. Yuan, Stochastic Differential Equations with Markovian Switching, Imperial College Press, 2006. View at Zentralblatt MATH
  2. X. Mao, Stochastic Differential Equations and their Applications, Horwood Publishing Limited, Chichester, UK, 1997. View at Zentralblatt MATH
  3. X. Mao, “Stability and stabilisation of stochastic differential delay equations,” IET Control Theory and Applications, vol. 1, no. 6, pp. 1551–1566, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. J. A. D. Appleby, X. Mao, and A. Rodkina, “Stabilization and destabilization of nonlinear differential equations by noise,” IEEE Transactions on Automatic Control, vol. 53, no. 3, pp. 683–691, 2008. View at Publisher · View at Google Scholar
  5. F. Wu and S. Hu, “Suppression and stabilisation of noise,” International Journal of Control, vol. 82, no. 11, pp. 2150–2157, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. F. Wu, X. Mao, and S. Hu, “Stochastic suppression and stabilization of functional differential equations,” Systems & Control Letters, vol. 59, no. 12, pp. 745–753, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. G. Hu, M. Liu, X. Mao, and M. Song, “Noise expresses exponential growth under regime switching,” Systems & Control Letters, vol. 58, no. 9, pp. 691–699, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. G. Hu, M. Liu, X. Mao, and M. Song, “Noise suppresses exponential growth under regime switching,” Journal of Mathematical Analysis and Applications, vol. 355, no. 2, pp. 783–795, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. L. Bai and X. Li, “Analysis of noise under regime switching,” Applied Mathematics, vol. 2, no. 7, pp. 836–842, 2011. View at Publisher · View at Google Scholar
  10. X. Li, D. Jiang, and X. Mao, “Population dynamical behavior of Lotka-Volterra system under regime switching,” Journal of Computational and Applied Mathematics, vol. 232, no. 2, pp. 427–448, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH