×

Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations. (English) Zbl 0849.34041

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.
Reviewer: A.Martynyuk (Kiev)

MSC:

34D20 Stability of solutions to ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI EuDML