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has been cited by the following article:

• TITLE: Exponential Dichotomy and Eberlein-Weak Almost Periodic Solutions

  AUTHORS: Elhadi Ait Dads, Samir Fatajou, Lahcen Lhachimi

  KEYWORDS: Bounded Solutions; Almost Periodic and Eberlein Weak Almost Periodic Functions; Exponential Dichotomy; Linear Differential Equations

  JOURNAL NAME: Applied Mathematics, Vol.3 No.9, September 27, 2012

  ABSTRACT: We give sufficient conditions ensuring the existence and uniqueness of an Eberlein-weakly almost periodic solution to the following linear equation dx/dt(t) = A(t)x(t) + f(t) in a Banach space X, where (A(t)) t ∈□ is a family of infinitesimal generators such that for all t ∈□, A(t + T) = A(t) for some T > 0, for which the homogeneuous linear equation dx/dt(t) = A(t)x(t) is well posed, stable and has an exponential dichotomy, and f:□ →X is Eberlein-weakly amost periodic.