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Zbl 1204.39003
Bereketoglu, Huseyin; Huseynov, Aydin
Convergence of solutions of nonhomogeneous linear difference systems with delays. (English)
[J] Acta Appl. Math. 110, No. 1, 259-269 (2010). ISSN 0167-8019; ISSN 1572-9036/e

Authors' abstract: Sufficient conditions are given for the asymptotic constancy of the solutions of a system of linear difference equations with delays. Moreover, it is shown that the limits of the solutions, as $t\to\infty$, can be computed in terms of the initial function and a special matrix solution of the corresponding adjoint equation.
[Kazuya Tohge (Kanazawa)]
MSC 2000:
*39A06
39A22

Keywords: convergence; asymptotic constancy; system of linear difference equations with delays; matrix solution

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