Existence of Exponential p-Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle

Joint Authors

Rao, Ruofeng
Zhong, Shouming

Source

Advances in Mathematical Physics

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-06-25

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Physics

Abstract EN

The authors obtained a delay-dependent exponential p-stability criterion for a class of Markovian jumping nonlinear diffusion equations by employing the Lyapunov stability theory and some variational methods.

As far as we know, it is the first time to apply Ekeland variational principle to obtain the existence of exponential stability equilibrium of p-Laplacian dynamic system so that some methods used in this paper are different from those methods of many previous related literatures.

In addition, the obtained existence criterion is only involved in the activation functions so that the criterion is simpler and easier than other existence criteria to be verified in practical application.

Moreover, a numerical example shows the effectiveness of the proposed methods owing to the large allowable variation range of time-delay.

American Psychological Association (APA)

Rao, Ruofeng& Zhong, Shouming. 2015. Existence of Exponential p-Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1053027

Modern Language Association (MLA)

Rao, Ruofeng& Zhong, Shouming. Existence of Exponential p-Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle. Advances in Mathematical Physics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1053027

American Medical Association (AMA)

Rao, Ruofeng& Zhong, Shouming. Existence of Exponential p-Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1053027

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1053027