Bohl exponents and Baire classes of functions
type: Item
instance of: scholarly article
title: Bohl exponents and Baire classes of functions
zbMATH Open document ID: 1336.34077
author: V. V. Bykov
published in: Journal of Mathematical Sciences (New York)
publication date: 2016-01-13T00:00:00Z
review text: For a linear system of first-order ordinary differential equations, it is well-known that the (in)stability can be described using the characteristic exponents and the Lyapunov exponents. In order to study more subtle stability like the conditional stability, the Russian school has developed further notions of exponents like the Bohl, the conditional Bohl, and the relative Bohl exponents. One of the main contributions of the present paper is to give the corresponding notions for diffeomorphisms by considering their linearization systems. Besides the establishment of the relations between these exponents, the author also obtains some deep results on these exponents, considered as functions of parameters in systems, which are described in terminology of the Baire classes of different orders.
reviewed by: Meirong Zhang
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 26A21
Mathematics Subject Classification ID: 37C05
Mathematics Subject Classification ID: 57R22
zbMATH DE Number: 6529636
zbMATH Keywords: Bohl exponents
zbMATH Keywords: conditional Bohl exponents
zbMATH Keywords: relative Bohl exponents
zbMATH Keywords: diffeomorphisms
zbMATH Keywords: Baire classes
MaRDI profile type: Publication
full work available at URL: s10958-015-2555-6
OpenAlex ID: W2174030165
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DOI: 10.1007/S10958-015-2555-6
description: scientific article; zbMATH DE number 6529636