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A new nonlinear integro-differential inequality and its application. (English) Zbl 1177.26030
Summary: A new nonlinear integro-differential inequality is established. Using the properties of $M$-cone and a generalization of Barbalat’s lemma, the boundedness and asymptotic behavior for the solution of the inequality are obtained. Applying this nonlinear integro-differential inequality, the invariant and attracting sets for Cohen-Grossberg neural networks with mixed delays are obtained. The results extend and improve the earlier publications. An example is given to illustrate the efficiency of the obtained results.

##### MSC:
 26D10 Inequalities involving derivatives, differential and integral operators 92B20 General theory of neural networks (mathematical biology)
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##### References:
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