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Dichotomies and Stability in Nonautonomous Linear Systems.
・ISBN 978-0-415-27221-6 hard GB£ 260.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-17492-6
| 著者・編者 | Mitropolsky, Yu. A. / Samoilenko, A.M. / Kulik, V.L., |
|---|---|
| シリーズ | Stability and Control: Theory, Methods and Applications |
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2002 |
| ページ数 | 390 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-11549＞ |
解説
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.