| 书目名称 | Complete Second Order Linear Differential Equations in Hilbert Spaces |
| 编辑 | Alexander Ya. Shklyar |
| 视频video | http://file.papertrans.cn/232/231322/231322.mp4 |
| 概述 | The prerequisite for its understanding is the knowledgeof a first course in functional analysis and operator theory....The monograph is a valuable reference book for postgraduate students and research |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay‘ (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood. |
| 出版日期 | Book 1997 |
| 关键词 | Finite; Hilbert space; calculus; equation; function; functional analysis; integral transform; partial diffe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-9187-5 |
| isbn_softcover | 978-3-0348-9940-6 |
| isbn_ebook | 978-3-0348-9187-5Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Birkhäuser Verlag 1997 |
|Archiver|手机版|小黑屋|
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