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Dichotomies and Stability in Nonautonomous Linear Systems

Yu A Mitropolsky author AM Samoilenko author VL Kulik author

Format:Hardback

Publisher:Taylor & Francis Ltd

Published:10th Oct '02

Currently unavailable, and unfortunately no date known when it will be back

Dichotomies and Stability in Nonautonomous Linear Systems cover

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.

"This volume will be of great interest to researchers and students dealing with nonautonomous systems."
- Zentralblatt fur Mathematik, Vol. 1026

ISBN: 9780415272216

Dimensions: unknown

Weight: 1860g

390 pages