书目名称 | Exponentially Dichotomous Operators and Applications |
编辑 | Cornelis Mee |
视频video | |
概述 | First book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.Includes supplementary material: |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type. |
出版日期 | Book 2008 |
关键词 | Banach space; Cauchy problem; Riccati equation; Sturm-Liouville operator; dichotomous operator; operator |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-7643-8732-7 |
isbn_ebook | 978-3-7643-8732-7Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Birkhäuser Basel 2008 |