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Nonlinear Analysis: Real World Applications, 2022
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Chaos, Solitons & Fractals, 2006
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Cui, Bao Tong, Lou, Xu Yang
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Cui, Bao Tong, Lou, Xu Yang
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Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Balasubramaniam +2 more
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Neural Processing Letters, 2015
In this paper, a reaction-diffusion neural network with time delay in leakage terms and distributed synaptic transmission delays under homogeneous Neumann boundary conditions is investigated. By analyzing the corresponding characteristic equation, the local stability of the trivial uniform steady state and the existence of Hopf bifurcation are ...
Xiaohong Tian, Rui Xu
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In this paper, a reaction-diffusion neural network with time delay in leakage terms and distributed synaptic transmission delays under homogeneous Neumann boundary conditions is investigated. By analyzing the corresponding characteristic equation, the local stability of the trivial uniform steady state and the existence of Hopf bifurcation are ...
Xiaohong Tian, Rui Xu
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2005 International Conference on Control and Automation, 2005
The existence of the equilibrium point and global exponential stability of finite distributed delays neural networks with reaction-diffusion terms is studied. The sufficient conditions were obtained by utilizing the theory of homotopy invariability, Dini's derivative, F-function and extended Hanaly's inequality, without assuming the boundedness ...
null Tang Zhihong +2 more
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The existence of the equilibrium point and global exponential stability of finite distributed delays neural networks with reaction-diffusion terms is studied. The sufficient conditions were obtained by utilizing the theory of homotopy invariability, Dini's derivative, F-function and extended Hanaly's inequality, without assuming the boundedness ...
null Tang Zhihong +2 more
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Neural Computing and Applications, 2012
In this paper, fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms are studied. Sufficient conditions for the global exponential stability of equilibrium point are established by constructing suitable Lyapunov functional and differential inequality techniques, which complement and improve the main results of ...
Lian Duan, Lihong Huang
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In this paper, fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms are studied. Sufficient conditions for the global exponential stability of equilibrium point are established by constructing suitable Lyapunov functional and differential inequality techniques, which complement and improve the main results of ...
Lian Duan, Lihong Huang
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Neurocomputing, 2010
In this paper, the boundedness and exponential stability for nonautonomous fuzzy cellular neural networks (FCNNs) with distributed delays and reaction-diffusion terms are investigated. By constructing suitable Lyapunov functional, introducing ingeniously some real parameters and applying the elementary inequality, we establish a series of criteria on ...
Shuyun Niu, Haijun Jiang, Zhidong Teng
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In this paper, the boundedness and exponential stability for nonautonomous fuzzy cellular neural networks (FCNNs) with distributed delays and reaction-diffusion terms are investigated. By constructing suitable Lyapunov functional, introducing ingeniously some real parameters and applying the elementary inequality, we establish a series of criteria on ...
Shuyun Niu, Haijun Jiang, Zhidong Teng
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Analysis, 2007 SummaryIn this paper, we investigate the oscillation of certain even-order neutral differential equations with distributed delay and damping term, and obtain several classes of sufficient conditions for the oscillation of all of its solutions, which generalize some known results. We also give some examples to illustrate the applicability of our results.
Da-Xue Chen, Shuqing Zhou, Yuhua Long
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Mathematica SlovacaAbstract The paper deals with the nonoscillatory solutions of arbitrary noninteger-order neutral equations with distributed delays. Through the use of the LFD (Liouville Fractional Derivative) of order α ≥ 0 on the half-axis and BCP (Banach Contraction Principle), we are able to get the nonoscillation criteria.
James Viji +3 more
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Periodic Solutions of BAM Neural Networks with Continuously Distributed Delays in the Leakage Terms
Neural Processing Letters, 2014This paper concerns with bidirectional associative memory neural network model with continuously distributed leakage delays. By applying Lyapunov functional method and differential inequality techniques, we establish some sufficient conditions for the existence and exponential stability of periodic solutions for the model, which complement with some ...
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