Oleksiy A. Ignatyev

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A system of linear autonomous difference equations x(n + 1) = Ax(n) is considered, where x ∈ Rk, A is a real nonsingular k × k matrix. In this paper it has been proved that if W (x) is any quadratic form and m is any positive integer, then there exists a unique quadratic form V (x) such that ∆mV = V (Amx) − V (x) = W (x) holds if and only if μiμj 6= 1 (i =(More)
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