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On the structure of the general continuous solution of systems of linear difference equations with periodic coefficients. (English. Russian original) Zbl 0830.39002
Russ. Acad. Sci., Dokl., Math. 49, No. 3, 560-563 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 5, 587-589 (1994).
The author continues to study the structure of the general continuous solution to a linear difference equation with continuous positive time \(t\) of the form \(x(t + 1) = A(t)x(t)\) [cf. ibid. 336, No. 4, 451-452 (1994; reviewed above)]. Here \(A(t) \in C(\mathbb{R}^+, GL (m,\mathbb{R}))\) is \(n\)-periodic with integer \(n\): \(A(t + n) = A(t)\), \(\forall t \geq 0\). Some partial (nondegenerate, of multiplicity one) cases are investigated in detail.
MSC:
39A10 Additive difference equations
39A12 Discrete version of topics in analysis
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