A result concerning bounded solutions of linear systems of differential equations (Q1324784)

The author studies bounded solutions of the equation \(x'= A(t)x+ f(t)\), where \(A(t): \mathbb{R}\to \mathbb{R}^{n\times n}\) is a continuous matrix, and \(f\) is continuous and bounded. He gets some estimates and considers also singular perturbation problems.