Existence of positive almost automorphic solutions to nonlinear delay integral equations

Almost automorphic solutions of nonautonomous evolution equations

“…On the other hand, almost automorphic functions and their applications have attracted more and more attention (cf. [2,3,6,[10][11][12]14,16,17,[19][20][21][22]27,28] and the references cited therein). Recall that almost automorphic functions, which were introduced by Bochner [1], turn out to be an important generalization of almost periodic functions.…”

Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions

“…; see, e.g., [6][7][8][9]12,19,20]. We refer the reader to the monographs of N'Guérékata [19,20] for the basic theory of almost automorphic functions and applications.…”

The Existence and Uniqueness of Positive Weighted Pseudo Almost Automorphic Solution for Some Systems of Neutral Nonlinear Delay Integral Equations

“…Since then, many works were concerned with the existence of periodic, almost periodic, pseudo almost periodic and almost automorphic solutions for various kinds of (2). We refer the reader to [1,2,8,10,11] and the references therein. The existence of almost periodic solutions for a scalar version of system (1) in the case of σ(t) ≡ σ ∈ (0, +∞) and γ(t) ≡ γ ∈ [0, 1)…”