In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.

In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov's, a nonlinear alternative of Leray-Schauder's fixed point principles combined with a technique based on vector-valued metrics and convergent to zero matrices. Also, we give a random abstract formulation to Sadovskii's fixed point theorem in a vector-valued Banach space. Examples illustrating the results are included. MSC: 47H10; 47H30; 54H25

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