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On the solution of the linear difference equation with periodic coefficients. (English) Zbl 0601.39001

An explicit formula is given relating the exponential growth rate of the input f(t) to the growth rate of the output y(t) of the initial value problem \(y(t+n)+\sum^{n}_{i=1}p_ i(t)y(t+n-i)=f(t),\quad t\geq 0,\) \(y(j)=0\) for \(j=0,...,n-1\) where the functions \(p_ i\) are periodic with common period and n is a fixed positive integer.
Reviewer: B.Aulbach

MSC:

39A10 Additive difference equations
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