书目名称 | Perturbation Methods in Non-Linear Systems | 编辑 | Georgio Eugenio Oscare Giacaglia | 视频video | | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differ ential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their ad vantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestia | 出版日期 | Book 1972 | 关键词 | Lie; Perturbation; equation; mathematics; theorem; variable | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-6400-2 | isbn_softcover | 978-0-387-90054-4 | isbn_ebook | 978-1-4612-6400-2Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | Springer-Verlag New York Inc. 1972 |
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