Quasiperiodic solutions of systems with lag (Q761613)

A system of difference-differential equations with quasiperiodic right- hand side of the form \(x'(t)=f(\omega t,x(t),x(t-\Delta))\) where \(f: T_ m\times D\times D\to R^ s\), D is a region in \(R^ s\), \(T_ m\) is an m-dimensional torus and \(\omega =(\omega_ 1,...,\omega_ m)\) is a frequency base, is considered. The theorem on existence and uniqueness of quasiperiodic solutions of this system is proved.