Article ID Journal Published Year Pages File Type
840171 Nonlinear Analysis: Theory, Methods & Applications 2013 6 Pages PDF
Abstract

We investigate the problem of Lyapunov stability for nonautonomous ODEs for which the right-hand side is only Lebesgue-measurable with respect to time tt, x′=f(t,x)x′=f(t,x). We describe how to use the dual Lyapunov function in dual space and the Hamilton–Jacobi inequality to formulate sufficient conditions for the stability of the zero solution in primary and dual space.

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