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H. Liu James, G. M. N’Guérékata and N. Van Minh, “Topics on Stability and Periodicity in Abstract Differential Equations,” Series on Concrete and Applicable Mathematics, Vol. 6, 2008.

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.