Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844669 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 28 Pages |
Abstract
We present Lyapunov stability results, including Converse Theorems, for a class of discontinuous dynamical systems (DDS) determined by differential equations in Banach space or Cauchy problems on abstract spaces. We demonstrate the applicability of our results in the analysis of several important classes of DDS, including systems determined by functional differential equations, Volterra integro-differential equations and partial differential equations.
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Authors
Anthony N. Michel, Ye Sun,