Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications) pdf epub fb2

Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications) by - epub fb2 djvu

Author: -
Title: Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications)
ISBN: 0415272211
ISBN13: 978-0415272216
Other Formats: azw mbr doc lit
Pages: 400 pages
Publisher: CRC Press; 1 edition (October 10, 2002)
Language: English
Size EPUB version: 1901 kb
Size FB2 version: 1796 kb
Category: Science & Math
Subcategory: Mathematics

Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov functions with variable sign, expressed in quadratic forms, to the solution of this problem. The authors explore the preservation of invariant tori of dynamic systems under perturbation. This volume is a classic contribution to the literature on stability theory and provides a useful source of reference for postgraduates and researchers.

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