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Journal of Applied Mathematics
Volume 2013, Article ID 940845, 8 pages
Research Article

On the Role of Diffusion Behaviors in Stability Criterion for p-Laplace Dynamical Equations with Infinite Delay and Partial Fuzzy Parameters under Dirichlet Boundary Value

1Institution of Mathematics, Yibin University, Yibin, Sichuan 644007, China
2College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, China
3School of Science Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China

Received 23 July 2013; Revised 8 October 2013; Accepted 9 October 2013

Academic Editor: Reinaldo Martinez Palhares

Copyright © 2013 Ruofeng Rao et al. 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 [5 citations]

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

  • Ruofeng Rao, “Delay-Dependent Exponential Stability for Nonlinear Reaction-Diffusion Uncertain Cohen-Grossberg Neural Networks with Partially Known Transition Rates via Hardy-Poincare Inequality,” Chinese Annals of Mathematics Series B, vol. 35, no. 4, pp. 575–598, 2014. View at Publisher · View at Google Scholar
  • Xiongrui Wang, and Ruofeng Rao, “Robust stability of probabilistic delays fuzzy stochastic p-Laplace dynamic equations,” Journal of Inequalities and Applications, vol. 2014, no. 1, pp. 469, 2014. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Shouming Zhong, and Zhilin Pu, “On the role of diffusion factors in stability analysis for p-Laplace dynamical equations involved to BAM Cohen-Grossberg neural network,” Neurocomputing, vol. 223, pp. 54–62, 2017. View at Publisher · View at Google Scholar
  • Xiongrui Wang, Ruofeng Rao, and Shouming Zhong, “New Stability Criterion for Takagi-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Probabilistic Time-Varying Delays,” Mathematical Problems in Engineering, vol. 2017, pp. 1–11, 2017. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Gaozhi Tang, Jiuqi Gong, Xiaoyan Wan, Guanghong Wu, Qiao Zhang, and Shouming Zhong, “Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays,” Complexity, vol. 2018, pp. 1–19, 2018. View at Publisher · View at Google Scholar