Dichotomies and Stability in Nonautonomous Linear Systems

1st Edition

Yu. A. Mitropolsky, A.M. Samoilenko, V.L. Kulik

CRC Press
Published October 10, 2002
Reference - 400 Pages
ISBN 9780415272216 - CAT# TF1378
Series: Stability and Control: Theory, Methods and Applications

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Summary

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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