Stability problems in nonautonomous linear differential equations in infinite dimensions
Stability problems in nonautonomous linear differential equations in infinite dimensions
In this paper we study the robustness of the stability in nonautonomous linear ordinary differential equations under integrally small perturbations in infinite dimensional Banach spaces. Some applications are obtained to the case of rapidly oscillating perturbations, with arbitrarily small periods, showing that even in this case the stability is robust. …