Geodesic
Stability in linear neutral difference equations with variable delays
Mathematica Bohemica, Tome 138 (2013) no. 3, pp. 245-258.

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In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
DOI : 10.21136/MB.2013.143436
Classification : 39A30, 39A70
Keywords: fixed point; stability; neutral difference equation; variable delay 
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Ardjouni, Abdelouaheb; Djoudi, Ahcene. Stability in linear neutral difference equations with variable delays. Mathematica Bohemica, Tome 138 (2013) no. 3, pp. 245-258. doi : 10.21136/MB.2013.143436. http://geodesic.mathdoc.fr/articles/10.21136/MB.2013.143436/

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