A new analytical method for the linearization of dynamic equation on measure chains. (English) Zbl 1126.34030

The authors deal with dynamical systems on measure chains (time scales). Such systems (their definition is too complicated to be given here; see, for example, the book by M. Bohner and A. Peterson [Dynamic equations on time scales. An introduction with applications. Basel: Birkhäuser (2001; Zbl 0978.39001)] are generalizations of ordinary differential equations. In this paper, the authors introduce a new method for establishing topological equivalence on measure chains between a nonlinear system and its linear part.


34C41 Equivalence and asymptotic equivalence of ordinary differential equations
39A12 Discrete version of topics in analysis


Zbl 0978.39001
Full Text: DOI


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