Title: Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications)
Publisher: CRC Press 2002-10-10
Publication Date: 2002
Language: English
ISBN 10: 0415272211
ISBN 13: 9780415272216
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Author

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

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