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- W2116737371 abstract "Given a complex summable sequence and a discrete almost automorphic function with values in a complex Banach space X, we give criteria for the existence of discrete almost automorphic solutions of the linear Volterra difference equation , , for λ in a distinguished subset of the complex plane, determined by . We also prove the existence of a discrete almost automorphic solution of the nonlinear Volterra difference equation , , where is a discrete almost automorphic function in n for each that satisfies a global Lipschitz condition and takes values in X. Finally, we treat the same type of problem for Volterra functional difference equations." @default.
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- W2116737371 date "2012-11-01" @default.
- W2116737371 modified "2023-10-14" @default.
- W2116737371 title "On the existence of almost automorphic solutions of Volterra difference equations" @default.
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- W2116737371 doi "https://doi.org/10.1080/10236198.2011.603311" @default.
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