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Dichotomies and Stability in Nonautonomous Linear Systems

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Dichotomies and Stability in Nonautonomous Linear Systems - Mitropolsky, Yu A, and Samoilenko, A M, and Kulik, V L
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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 ...

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Dichotomies and Stability in Nonautonomous Linear Systems 2002, CRC Press, Oxford

ISBN-13: 9780415272216

Hardcover