Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations (Q1914763)

The paper deals with the application of a cone valued Lyapunov like function to the problem of Lipschitz stability and practical stability of the differential systems \(y' = f(t,x)\), \(y(t_0) = x_0\), \(x' = F(t,x)\), \(x(t_0) = x_0\), where \(f,F : \mathbb{R}_+ \times \mathbb{R}^n \to \mathbb{R}^n\) and are assumed continuous.