Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays and p-Laplacian

Joint Authors

Qingfei, Pan
Zifang, Zhang
Jingchang, Huang

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-03

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

The main aim of this paper is to discuss moment exponential stability for a stochastic reaction-diffusion neural network with time-varying delays and p-Laplacian.

Using the Itô formula, a delay differential inequality and the characteristics of the neural network, the algebraic conditions for the moment exponential stability of the nonconstant equilibrium solution are derived.

An example is also given for illustration.

American Psychological Association (APA)

Qingfei, Pan& Zifang, Zhang& Jingchang, Huang. 2012. Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays and p-Laplacian. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-993227

Modern Language Association (MLA)

Qingfei, Pan…[et al.]. Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays and p-Laplacian. Journal of Applied Mathematics No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-993227

American Medical Association (AMA)

Qingfei, Pan& Zifang, Zhang& Jingchang, Huang. Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays and p-Laplacian. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-993227

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993227