Existence and global attractivity of almost periodic solutions for neural field with time delay

2008 ◽  
Vol 200 (1) ◽  
pp. 465-472 ◽  
Author(s):  
Xuyang Lou ◽  
Baotong Cui
Keyword(s):  
Time Delay ◽  
Periodic Solutions ◽  
Global Attractivity ◽  
Neural Field ◽  
Almost Periodic Solutions ◽  
Almost Periodic

scholarly journals Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3306
Author(s):  
Wen Lv ◽  
Bing Li
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
Global Attractivity ◽  
Fuzzy Neural Networks ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Proportional Delays ◽  
Pseudo Almost Periodic Solutions ◽  
Fuzzy Neural ◽  
Pseudo Almost Periodic

In this paper, Clifford-valued fuzzy neural networks with proportional delays, whose leakage term coefficients are also Clifford numbers, are considered. Based on the Banach fixed point theorem and differential inequality technique, we use a direct method to obtain the existence, uniqueness, and global attractivity of pseudo almost periodic solutions for the considered networks. Finally, we provide a numerical example to illustrate the feasibility of our results. Our results are new.

scholarly journals Existence of Almost-Periodic Solutions for Lotka-Volterra Cooperative Systems with Time Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-14
Author(s):  
Kaihong Zhao
Keyword(s):  
Time Delay ◽  
Periodic Solutions ◽  
Sufficient Conditions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Mawhin’S Continuation Theorem ◽  
System With Time Delay ◽  
Positive Almost Periodic Solutions

This paper considers the existence of positive almost-periodic solutions for almost-periodic Lotka-Volterra cooperative system with time delay. By using Mawhin’s continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive almost-periodic solutions are obtained. An example and its simulation figure are given to illustrate the effectiveness of our results.

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