• 제목/요약/키워드: Stepanov weighted pseudo almost automorphic

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STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI;ISSA ZABSONRE
    • Journal of Applied and Pure Mathematics
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    • 제5권3_4호
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    • pp.129-164
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    • 2023
  • The aim of this work is to present some interesting results on weighted ergodic functions and prove the existence and uniqueness of Stepanov-like pseudo almost automorphic solutions using the spectral decomposition of the phase space developed by Adimy and co-authors. We also give the next challenge of this work.

ON STEPANOV WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF NEURAL NETWORKS

  • Lee, Hyun Mork
    • Korean Journal of Mathematics
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    • 제30권3호
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    • pp.491-502
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    • 2022
  • In this paper we investigate some sufficient conditions to guarantee the existence and uniqueness of Stepanov-like weighted pseudo almost periodic solutions of cellular neural networks on Clifford algebra for non-automomous cellular neural networks with multi-proportional delays. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.