# zbMATH — the first resource for mathematics

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