| 书目名称 | Stability of Nonautonomous Differential Equations |
| 编辑 | Luis Barreira,Claudia Valls |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The main theme of this book is the stability of nonautonomous di?erential equations, with emphasis on the study of the existence and smoothness of invariant manifolds, and the Lyapunov stability of solutions. We always c- sider a nonuniform exponential behavior of the linear variational equations, given by the existence of a nonuniform exponential contraction or a nonu- form exponential dichotomy. Thus, the results hold for a much larger class of systems than in the “classical” theory of exponential dichotomies. Thedeparturepointofthebookisourjointworkontheconstructionof- variant manifolds for nonuniformly hyperbolic trajectories of nonautonomous di?erential equations in Banach spaces. We then consider several related - velopments,concerningtheexistenceandregularityoftopologicalconjugacies, the construction of center manifolds, the study of reversible and equivariant equations, and so on. The presentation is self-contained and intends to c- vey the full extent of our approach as well as its uni?ed character. The book contributes towards a rigorous mathematical foundation for the theory in the in?nite-dimensional setting, also with the hope that it may lead to further developments i |
| 出版日期 | Book 2008 |
| 关键词 | Lyapunov stability; Stability theory; center manifolds; invariant manifolds; nonuniform hyperbolicity; to |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-74775-8 |
| isbn_softcover | 978-3-540-74774-1 |
| isbn_ebook | 978-3-540-74775-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2008 |
发表于 2025-3-21 18:12:54
