Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay

HIGHLIGHTS

  • who: El Hadi Ait Dads from the Département de Mathématiques have published the Article: Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay, in the Journal: (JOURNAL)
  • what: The authors aim to show that G(tn ) - G(sn ) -→  as n → ∞.

SUMMARY

    Lemma  Let f ∈ KAA(R, R) and β: R × R+ → R such that t → β(t, ·) ∈ KAA(R, L (R+ )). There exist a subsequence (tn )n ⊂ (tn )n and a function δ: R → R such that δ(t + tn ) → δ (t) and δ (t - tn ) → δ(t) uniformly . . .

     

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