ENGLISH

Time-Varying Vector Fields and Their Flows

By Andrew D. Lewis (auth.) , Saber Jafarpour

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-10138-5, 978-3-319-10139-2
DOI
10.1007/978-3-319-10139-2
Language
english
Format
PDF
Filesize
2 MB (1909595 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
119\125
Time added
2014-11-10 20:00:00
Control; Dynamical Systems and Ergodic Theory; TopLie GroupsSystems Theory

Description

This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified using functional analysis. Indeed, a major contribution of the book is the coherent development of locally convex topologies for the space of real analytic sections of a vector bundle, and the development of this in a manner that relates easily to classically known topologies in, for example, the finitely differentiable and smooth cases. The tools used in this development will be of use to researchers in the area of geometric functional analysis.

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