Existence and exponential stability of anti-periodic solutions in cellular neural networks with time-varying delays and impulsive effects
Electronic journal of differential equations, Tome 2016 (2016)
In this article we study a cellular neural network with impulsive effects. By using differential inequality techniques, we obtain verifiable criteria on the existence and exponential stability of anti-periodic solutions. An example is included to illustrate the feasibility and of our main results.
Classification :
34C25, 34K13, 34K25
Keywords: cellular neural network, anti-periodic solution, impulse, exponential stability, time-varying delay
Keywords: cellular neural network, anti-periodic solution, impulse, exponential stability, time-varying delay
@article{EJDE_2016__2016__a21,
author = {Xu, Changjin},
title = {Existence and exponential stability of anti-periodic solutions in cellular neural networks with time-varying delays and impulsive effects},
journal = {Electronic journal of differential equations},
year = {2016},
volume = {2016},
zbl = {1329.34086},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a21/}
}
TY - JOUR AU - Xu, Changjin TI - Existence and exponential stability of anti-periodic solutions in cellular neural networks with time-varying delays and impulsive effects JO - Electronic journal of differential equations PY - 2016 VL - 2016 UR - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a21/ LA - en ID - EJDE_2016__2016__a21 ER -
%0 Journal Article %A Xu, Changjin %T Existence and exponential stability of anti-periodic solutions in cellular neural networks with time-varying delays and impulsive effects %J Electronic journal of differential equations %D 2016 %V 2016 %U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a21/ %G en %F EJDE_2016__2016__a21
Xu, Changjin. Existence and exponential stability of anti-periodic solutions in cellular neural networks with time-varying delays and impulsive effects. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a21/