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On asymptotically periodic solutions of linear discrete Volterra equations

Győri I., Reynolds D. W.

Fasciculi Mathematici

2010

Nr 44

53-67

We show that a class of linear nonconvolution discrete Volterra equations has asymptotically periodic solutions. We also examine an example for which the calculations can be done explicitly. The results are established using theorems on the boundedness and convergence to a finite limit of solutions of linear discrete Volterra equations.