Infinitesimal transformations for non-linear time varying systems†
作者:
S. A. MUSA,
S. SRIVASTAVA,
期刊:
International Journal of Control
(Taylor Available online 1969)
卷期:
Volume 10,
issue 5
页码: 583-592
ISSN:0020-7179
年代: 1969
DOI:10.1080/00207176908905859
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper, Lie's method of infinitesimal transformations is used to generate some general classes of second-order non-linear non-autonomous differential equations which can be reduced to first-order systems. The relevance of some recently published, transformation methods to this method is established. Although the discussion is restricted to second-order systems, the method can be used for higher-order systems. Some special cases, where the differential equations can be completely integrated, are discussed.
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