Shadowing for nonautonomous difference equations with infinite delay

Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay

Semilinear functional difference equations with infinite delay

We obtain boundness and asymptotic behavior of solutions for semilinear functional difference equations with infinite delay. Applications on Volterra difference equations with infinite delay are shown.

Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings

It is shown how known results for autonomous difference equations can be adapted to definitions of semi-hyperbolicity and bi-shadowing generalized to nonautonomous difference equations with Lipschitz continuous mappings. In particular, invertibility and smoothness of the mappings are not required and, for greater applicability, the mappings are allowed to act between possibly different Banach s...

On Linear Volterra Difference Equations with Infinite Delay

Motivated by the old but significant papers by Driver [3] and Driver et al. [5], a number of relevant papers has recently appeared in the literature. See Frasson and Verduyn Lunel [10], Graef and Qian [11], Kordonis et al. [16], Kordonis and Philos [19], Kordonis et al. [21], Philos [26], and Philos and Purnaras [28, 30, 35, 33, 36]. The results in [10, 11, 16, 26, 28, 30, 35, 36] concern the l...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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