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Shows existence and uniqueness of solutions in infinite delay equations, suggesting new insights in mathematical analysis.
In this paper, we firstly present notions and basic properties of m-(weighted) pseudo S-asymptotically ω-antiperiodic sequence and ∞-(weighted) pseudo S-asymptotically ω-antiperiodic se-quence, which are applicable to the investigation of delayed difference equations. We secondly show some existence and uniqueness of pseudo S-asymptotically ω-antiperiodic solutions to Volterra difference equation with infinite delay as an application of aforementioned sequences.
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Lü et al. (2025) studied this question.
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