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Volume 7, Number 1, 2017, Pages 309-333                                                                DOI:10.11948/2017021
Topological linearization of DEPCAGs with unbounded nonlinear terms
Changwu Zou,Jinlin Shi
Keywords:Piecewise constant argument, global topological linearization, unbounded nonlinear term, exponential dichotomy.
Abstract:
      In this paper, we study the global topological linearization of a differential equation with piecewise constant argument of generalized type (DEPCAG) when the nonlinear term is unbounded. Some sufficient conditions are established for the topological conjugacy between a nonlinear system and its linear system. Our work generalizes the main result of Pinto and Robledo in [25].
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