Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with \(\mathbf S^p\)-weighted pseudo-almost periodic coefficients (Q1049522)

In the paper under review the concept is introduced of weighted pseudo-almost periodicity in the sense of Stepanov and its properties are studied. An application is given of this concept to the study of the existence of weighted pseudo-almost periodic solutions to the class of perturbed hyperbolic differential equations \(u'(t)=Au(t)+f(t, Bu(t))\), \(t\in\mathbb R\).