Periodic Solutions of Generalized Linear Ordinary Differential Equations with Measures as Coefficients

The theory of generalized ordinary differential equations has been proved to be useful in dealing with the continuous dependence on a parameter for differential equations, systems with impulses, topological dynamics and retarded functional differential equations. In this paper, we study omega-periodic solutions of generalized linear ordinary differential equations on half-line. It is assumed that the matrix of coefficients generate an omega-periodic measure, while the free-term also generate an omega-periodic measure.