Abstract

The purpose of this paper is to discuss the existence of pseudo almost periodic solutions of linear Volterra equation ˙ x(t) = A(t)x(t) + ∫ t 1 F (t;s)x(s)ds + p(t), t 2 R, by using an exponentially asymptotically stable of the zero solution, which is equivalent to the exponential behaviors of the principal matrix solution G(t;s) as t ! 1 and of some function of the integral kernel. Mathematics Subject Classication

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