Exponential Dichotomy and Eberlein-Weak Almost Periodic Solutions

• 作 者: Elhadi Ait Dads Samir Fatajou
• 机 构: Dé,partmentdeMathé,matiques,LaboratoireL.M.C.,Dé,partmentdeMathé,matiquesetInformati
• 出 处: 应用数学(英文)
• 发表日期: 2012年9期
• 关键词: Bounded Solutions ALMOST PERIODIC and Eberlein WEAK ALMOST PERIODIC Functions Ex

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 s