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Dichotomies and Stability in Nonautonomous Linear Systems

By: (Author) A.M. Samoilenko , (Author) V.L. Kulik , (Author) Yu. A. Mitropolsky

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Ksh 41,400.00

Format: Hardback or Cased Book

ISBN-10: 0415272211

ISBN-13: 9780415272216

Series: Stability and Control: Theory, Methods and Applications

Publisher: Taylor & Francis Ltd

Imprint: CRC Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Oct 10th, 2002

Print length: 390 Pages

Weight: 843 grams

Product Classification: Differential calculus & equations
Applied mathematics

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Linear non-autonomous equations arise as mathematical models in mechanics, chemistry, and biology. This book explores the preservation of invariant tori of dynamic systems under perturbation. It is a useful contribution to the literature on stability theory and provides a source of reference for postgraduates and researchers.
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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