Exponentially Dichotomous Operators and Applications / Mee, C. V. M. van der
Tác giả : Mee, C. V. M. van der
Nhà xuất bản : Springer
Năm xuất bản : 2008
Mô tả vật lý : 231 p.
Số phân loại : 515
Chủ đề : 1. Differential equations, Linear. 2. Operator theory. 3. Perturbation (Mathematics). 4. Book.
Thông tin chi tiết
Tóm tắt : | 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. |
Thông tin dữ liệu nguồn
Thư viện | Ký hiệu xếp giá | Dữ liệu nguồn |
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Đại học quốc gia Hà Nội |
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https://repository.vnu.edu.vn/handle/VNU_123/31726 |