کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900195 | 1631557 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the first integrals of n-th order autonomous systems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The first integrals of n-th order autonomous systems are considered. By getting integrating factors using nâ1 first integrals of the systems, a necessary condition on the existence of global first integrals of n-th order autonomous systems is presented. It is also proved that nâ1 functionally independent first integrals of an n-th order autonomous system can be obtained if the system possesses nâ1 functionally independent integrating factors. Based on one-parameter Lie groups admitted by n-th order autonomous systems, several methods to obtain first integrals of the systems are presented. Simultaneously, several related examples are given to illustrate the feasibility and the effectiveness of the proposed method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 2, 15 March 2018, Pages 1062-1078
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 2, 15 March 2018, Pages 1062-1078
نویسندگان
Yanxia Hu,