Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs

Dynamics of FCNNs with proportional delays and leakage delays

*Correspondence: [email protected] 1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, P.R. China Full list of author information is available at the end of the article Abstract In this article, a kind of fuzzy cellular neural networks (FCNNs) with proportional delays and leakage delays are involved. Utilizing the differential inequality st...

Existence and exponential stability of almost periodic solutions for CNNs with time-varying leakage delays

Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays

and Applied Analysis 3

Pseudo Almost Periodic Solutions for HCNNs with Time-Varying Leakage Delays∗

In this paper, we consider a class of high-order cellular neural networks (HCNNs) model with time-varying delays in the leakage terms. We give some sufficient conditions which guarantee the exponential stability of pseudo almost periodic solutions for the model. The obtained results complement with some recent ones in the liteature.The technique of proof involves the exponential dichotomy theor...

Almost Periodic Solutions for Lasota-Wazewska Model with Multiple Delays

By means of Mawhin’s continuation theorem of coincidence degree theory, some new and simple sufficient conditions are obtained for the existence of at least one positive almost periodic solution for a class of delayed Lasota-Wazewska model with nonnegative coefficients. Further, by some important inequalities and Lyapunov functional, the permanence and global asymptotical stability of the model...

Existence and Global Exponential Stability of Almost Periodic Solutions for Bam Neural Networks with Distributed Leakage Delays on Time Scales∗

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 principl...