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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 831082, 13 pages
Research Article

Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps

1School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China
2Department of Mathematics, Huaihua University, Huaihua, Hunan 418008, China

Received 19 November 2011; Accepted 30 November 2011

Academic Editor: Shaher Momani

Copyright © 2012 Qiyong Li and Siqing Gan. 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.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Qiyong Li, Xiaojie Wang, and Siqing Gan, “Compensated stochastic theta methods for stochastic differential delay equations with jumps,” International Journal Of Computer Mathematics, vol. 90, no. 5, pp. 1057–1071, 2013. View at Publisher · View at Google Scholar
  • Shifang Kuang, Yunjian Peng, Feiqi Deng, and Wenhua Gao, “Exponential Stability and Numerical Methods of Stochastic Recurrent Neural Networks with Delays,” Abstract and Applied Analysis, vol. 2013, pp. 1–11, 2013. View at Publisher · View at Google Scholar
  • Igor Poloskov, and Vladimir Malanin, “A scheme for study of linear stochastic time-delay dynamical systems under continuous and impulsive fluctuations,” International Journal of Dynamics and Control, 2015. View at Publisher · View at Google Scholar