Existence of positive pseudo almost periodic solution for a class of functional equations arising in epidemic problems

1994 ◽  
Vol 30 (6) ◽  
pp. 900-910 ◽  
Author(s):  
E. Ait Dads ◽  
K. Ezzinbi
Keyword(s):  
Periodic Solution ◽  
Functional Equations ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solution ◽  
Pseudo Almost Periodic

scholarly journals Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Haihui Wu
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Cellular Neural Networks ◽  
Contraction Mapping Principle ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solution ◽  
Globally Exponential Stability ◽  
Banach Contraction ◽  
Pseudo Almost Periodic

Shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies. This is the first paper considering the pseudo almost-periodic SICNNs. Furthermore, several methods are applied to establish sufficient criteria for the globally exponential stability of this system. The approaches are based on constructing suitable Lyapunov functionals and the well-known Banach contraction mapping principle.

Sign in / Sign up

Export Citation Format

Share Document