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Existence and global exponential stability of almost periodic solutions for BAM neural networks with distributed leakage delays on time scales
Authors:Changjin Xu  Peiluan Li  Yicheng Pang
Affiliation:Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China,School of Mathematics and Statistics, Henan University of Science and Technology Luoyang 471023, China and School of Mathematics and Statistics, Guizhou University of Finance and Economics Guiyang 550004, China
Abstract:In this paper, we deal with a class of BAM neural networks with distributed leakage delays on time scales. Some sufficient conditions which ensure the existence and exponential stability of almost periodic solutions for such class of BAM neural networks are obtained by applying the exponential dichotomy of linear differential equations, Lapunov functional method and contraction mapping principle. An example is given to illustrate the effectiveness of the theoretical predictions. The obtained results in this paper are completely new and complement the previously known publications.
Keywords:BAM neural networks   almost periodic solution   exponential stability   exponential dichotomy   distributed leakage delay.
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