书目名称 | Ordinary Differential Equations | 编辑 | Wolfgang Walter | 视频video | | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students. | 出版日期 | Textbook 1998 | 关键词 | Boundary value problem; Eigenvalue; Hilbert space; calculus; differential equation; eigenvalue problem; fu | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-0601-9 | isbn_softcover | 978-1-4612-6834-5 | isbn_ebook | 978-1-4612-0601-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer Science+Business Media New York 1998 |
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