Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. (arXiv:1811.12014v1 [math.AP])

In this article we study a class of delay differential equations with infinite delay in weighted spaces of uniformly continuous functions. We focus on the integrated semigroup formulation of the problem and so doing we provide an spectral theory. As a consequence we obtain a local stability result and a Hopf bifurcation theorem for the semiflow generated by such a problem 查看全文>>