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Instability of discrete systems. (English) Zbl 0912.39005
Let \(x(t+1)= A(t)x(t)\) be an unstable system. Criteria are given such that the zero solution of \(y(t+1) =A(t)+ f(t,y(t))\), where \(f(t,0)=0\), is also unstable or asymptotic unstable. The proofs use the method of discrete \((h,k)\)-dichotomies.

MSC:
39A11 Stability of difference equations (MSC2000)
39A10 Additive difference equations
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