Pseudo almost-periodic solution of shunting inhibitory cellular neural networks with delay.
Wu, Haihui (2011)
Journal of Applied Mathematics
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Wu, Haihui (2011)
Journal of Applied Mathematics
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Wang, Yi, Ma, Zhongjun, Liu, Hongli (2009)
Journal of Inequalities and Applications [electronic only]
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Xiang, Hongjun, Cao, Jinde (2008)
Journal of Applied Mathematics
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Lu, Chun (2010)
Discrete Dynamics in Nature and Society
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Jalab, H.A., Ibrahim, R.W. (2009)
Surveys in Mathematics and its Applications
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Qiyuan Zhou, Changhong Zhao (2010)
Annales Polonici Mathematici
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We study delay shunting inhibitory cellular neural networks without almost periodic coefficients. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to an almost periodic function. This complements previously known results.
Bai, C., Li, C. (2010)
Surveys in Mathematics and its Applications
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Huang, Chuangxia, He, Yigang, Huang, Lihong (2008)
Journal of Inequalities and Applications [electronic only]
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Valentina Casarino (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The spectral structure of the infinitesimal generator of a strongly continuous cosine function of linear bounded operators is investigated, under assumptions on the almost periodic behaviour of applications generated, in various ways, by C. Moreover, a first approach is presented to the analysis of connection between cosine functions and dynamical systems.
Alzabut, J.O., Nieto, J.J., Stamov, G.Tr. (2009)
Boundary Value Problems [electronic only]
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Guo, Yingxin, Xue, Mingzhi (2009)
Discrete Dynamics in Nature and Society
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Qianhong Zhang, Lihui Yang, Daixi Liao (2011)
International Journal of Applied Mathematics and Computer Science
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Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
Xiang, Hong, Yan, Ke-Ming, Wang, Bai-Yan (2005)
Discrete Dynamics in Nature and Society
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