Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1126.34030
Xia, Yonghui; Cao, Jinde; Han, Maoan
A new analytical method for the linearization of dynamic equation on measure chains. (English)
[J] J. Differ. Equations 235, No. 2, 527-543 (2007). ISSN 0022-0396

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 {\it M. Bohner} and {\it 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.
[Sergei Yu. Pilyugin (St. Petersburg)]

MSC 2000:: *34C41 Equivalence, asymptotic equivalence
39A12 Discrete version of topics in analysis

Keywords: measure chains; exponential dichotomy; linearization

Citations: Zbl 0978.39001

Cited in: Zbl 1190.34120

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]