Hussein, H. Attia On the solution of the linear difference equation with periodic coefficients. (English) Zbl 0601.39001 Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 30(78), 99-104 (1986). 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 Cited in 1 Document MSC: 39A10 Additive difference equations Keywords:periodic difference equation; exponential growth PDFBibTeX XMLCite \textit{H. A. Hussein}, Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 30(78), 99--104 (1986; Zbl 0601.39001)