Asymptotic behavior in Volterra difference systems with unbounded delay

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We show that under certain conditions there is a one to one correspondence between weighted bounded solutions of a linear Volterra difference equation with unbounded delay and its perturbation. This correspondence is elevated to asymptotic equivalence under suitable conditions.

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论文评审过程:Received 22 February 1999, Available online 17 December 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00257-5