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**Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales.**
*(English)*
Zbl 1222.34084

Impulsive shunting inhibitory cellular neural networks are studied. Sufficient conditions for the existence and global exponential stability of anti-periodic solutions of such nets are obtained by means of standard methods: coincidence degree and Lyapunov functional. One example is presented by the authors.

Reviewer: Angela Slavova (Sofia)

### MSC:

34K13 | Periodic solutions to functional-differential equations |

92B20 | Neural networks for/in biological studies, artificial life and related topics |

34K20 | Stability theory of functional-differential equations |

34K45 | Functional-differential equations with impulses |

34N05 | Dynamic equations on time scales or measure chains |

### Keywords:

shunting inhibitory cellular neural networks; anti-periodic solutions; global exponential stability; impulse; time scales
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\textit{Y. Li} and \textit{J. Shu}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3326--3336 (2011; Zbl 1222.34084)

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