Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory

Joint Authors

Guan, Yuanhong
Zhang, Yutian

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-25

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We employ the new method of fixed point theory to study the stability of a class of impulsive cellular neural networks with infinite delays.

Some novel and concise sufficient conditions are presented ensuring the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time.

These conditions are easily checked and do not require the boundedness and differentiability of delays.

American Psychological Association (APA)

Zhang, Yutian& Guan, Yuanhong. 2013. Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-471410

Modern Language Association (MLA)

Zhang, Yutian& Guan, Yuanhong. Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-471410

American Medical Association (AMA)

Zhang, Yutian& Guan, Yuanhong. Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-471410

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-471410