Boundedness in functional differential equations
Nonlinear Analysis: Theory, Methods & Applications
Global stability of neural networks with distributed delays
Neural Networks
AI Magazine
Nonlinear Analysis: Theory, Methods & Applications
Exponential stability of continuous-time and discrete-time cellular neural networks with delays
Applied Mathematics and Computation
Existence and stability of almost periodic solution for BAM neural networks with delays
Applied Mathematics and Computation
Dynamics of periodic delayed neural networks
Neural Networks
Robust Stability in Cohen---Grossberg Neural Network with both Time-Varying and Distributed Delays
Neural Processing Letters
Exponential stability and periodic oscillatory solution in BAM networks with delays
IEEE Transactions on Neural Networks
Delay-independent stability in bidirectional associative memory networks
IEEE Transactions on Neural Networks
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In this paper, we consider the cellular neural networks with variable coefficients and infinite distributed delays. By introducing the phase space C"g(R"-) and applying Lyapunov functional method and Young inequality technique, we first establish a series of criteria on the boundedness, globally asymptotic stability and globally exponential stability. Furthermore, by applying these results and combining the existence theorems of periodic solutions for general functional differential equations with infinite delays, we establish the existence of periodic solutions and its globally asymptotic stability and globally exponential stability for the periodic cellular neural networks with infinite distributed delays. At last, as a special case, we apply these results to the autonomous cellular neural networks with infinite distributed delays and the existence, uniqueness and global stability of equilibrium point are established.