| Dichotomies and Stability in Nonautonomous Linear Systems Contributor(s): Mitropolsky, Yu A. (Author), Samoilenko, A. M. (Author), Kulik, V. L. (Author) |
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ISBN: 0415272211 ISBN-13: 9780415272216 Publisher: CRC Press OUR PRICE: $275.50 Product Type: Hardcover - Other Formats Published: October 2002 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Applied - Mathematics | Number Systems |
| Dewey: 515.354 |
| LCCN: 2002072015 |
| Series: Stability and Control |
| Physical Information: 1.06" H x 7.66" W x 9.34" (1.86 lbs) 390 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
