Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629075 | Applied Mathematics and Computation | 2013 | 12 Pages |
Abstract
For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distributed delays. For these models, we establish sufficient conditions for their global exponential stability. The existence and global exponential stability of a periodic solution is also addressed. A comparison of results shows that these results are general, news, and add something new to some earlier publications.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Salete Esteves, Elçin Gökmen, José J. Oliveira,