Title of article
Stability of discontinuous Cauchy problems in Banach space Original Research Article
Author/Authors
Anthony N. Michel، نويسنده , , Ye Sun، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
28
From page
1805
To page
1832
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.
Keywords
Discontinuous dynamical systems , Lyapunov stability , Semigroups , Heat equation , Asymptotic stability , Partial differential equations , Volterra integro-differential equations , Exponential stability , Functional differential equations , Differential equations in Banach space , Cauchy problems on abstract spaces
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2006
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
859467
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