(ω, Q) -periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model

In this paper, we investigate the existence and uniqueness of (ω, Q) -periodic mild solutions for the following problem x′(t)=Ax(t)+f(t,x(t)), t∈R, on a Banach space X. Here, A is a closed linear operator which generates an exponentially stable C-semigroup and the nonlinearity f satisfies suitable p...