A new nonlinear integro-differential inequality and its application

作者：Xu Daoyi; Wang Xiaohu^*

来源：Applied Mathematics Letters, 2009, 22(11): 1721-1726.

DOI：10.1016/j.aml.2009.06.007

• Integro-differential inequality
• Barbalat's lemma
• Invariant set
• Attracting set
• Cohen-Grossberg neural networks

In this paper, 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.

• 出版日期2009-11
• 单位四川大学