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<p>In this paper, we consider abstract Volterra difference inclusions in Banach spaces. We introduce and analyze the notion of a discrete (<i>a</i>,&#xa0;<i>k</i>)-regularized <i>C</i>-resolvent family subgenerated by a multivalued linear operator. We also provide some new results about the existence and uniqueness of almost periodic and almost automorphic type solutions to abstract Volterra difference inclusions.</p>

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Abstract Volterra difference inclusions

  • 期刊论文

  • 发表日期：

    2025年2月20日

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  • Marko Kostić

摘要

In this paper, we consider abstract Volterra difference inclusions in Banach spaces. We introduce and analyze the notion of a discrete (a, k)-regularized C-resolvent family subgenerated by a multivalued linear operator. We also provide some new results about the existence and uniqueness of almost periodic and almost automorphic type solutions to abstract Volterra difference inclusions.