The concept of spectral dichotomy for linear difference equations. II. (English) Zbl 0880.39009

The authors extend their previous results [J. Math. Anal. Appl. 185, No. 2, 275-287 (1994; Zbl 0806.39005)] on the equivalence of the spectral dichotomy and the well-known exponential dichotomy to the class of linear difference equations whose right-hand sides are not necessarily invertible. Further they establish necessary and sufficient conditions for exponential and uniform stability for equations on the set of positive integers.


39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis


Zbl 0806.39005
Full Text: DOI


[1] DOI: 10.1016/0022-247X(85)90243-4 · Zbl 0595.34060
[2] DOI: 10.1006/jmaa.1994.1248 · Zbl 0806.39005
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[7] DOI: 10.1006/jmaa.1994.1360 · Zbl 0811.34064
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