STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS

Abdelouaheb Ardjouni; Ahcene Djoudi

doi:10.11948/2016027

2016 Volume 6 Issue 2

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Abdelouaheb Ardjouni, Ahcene Djoudi. STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 350-366. doi: 10.11948/2016027

Citation:

Abdelouaheb Ardjouni, Ahcene Djoudi. STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 350-366. doi: 10.11948/2016027

STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS

1 Faculty of Sciences and Technology, Department of Mathematics and Informatics, Univ Souk Ahras, P. O. Box 1553, Souk Ahras, 41000, Algeria;
2 Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, Univ Annaba, P. O. Box 12, Annaba 23000, Algeria

Abstract

Abstract

In this paper we use fixed point method to prove asymptotic stability results of the zero solution of a nonlinear delay difference equation. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006)[23], Yankson (2009)[27], Jin and Luo (2009)[17] and Chen (2013)[9].
- Fixed point /
- stability /
- delay difference equations
MSC: 39A30;39A70

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References

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