典型文献
Lie Symmetry Theorem for Nonshifted Birkhoffian Systems on Time Scales
文献摘要：
The Lie theorem for Birkhoffian systems with time-scale nonshifted variational problems are studied,including free Birkhoffian system,generalized Birkhoffian system and con-strained Birkhoffian system.First,the time-scale nonshifted gener-alized Pfaff-Birkhoff principle is established,and the dynamical equations for three Birkhoffian systems under nonshifted varia-tional problems are deduced.Afterwards,in the time-scale non-shifted variational problems,by introducing the infinitesimal transformations,Lie symmetry for free Birkhoffian system,gener-alized Birkhoffian system and constrained Birkhoffian system are defined respectively.Then Lie symmetry theorems for three kinds of Birkhoffian systems are deduced and proved.In the end,three examples are given to explain the applications for the results.
文献关键词：
中图分类号：
作者姓名：
CHEN Jinyue;ZHANG Yi
作者机构：
School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China;College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,Jiangsu,China
文献出处：
引用格式：
[1]CHEN Jinyue;ZHANG Yi-.Lie Symmetry Theorem for Nonshifted Birkhoffian Systems on Time Scales)[J].武汉大学自然科学学报（英文版）,2022(03):211-217
A类：
Nonshifted,Birkhoffian,nonshifted,Pfaff
B类：
Lie,Symmetry,Theorem,Systems,Time,Scales,systems,scale,variational,problems,are,studied,including,free,generalized,First,principle,established,dynamical,equations,three,under,deduced,Afterwards,by,introducing,infinitesimal,transformations,symmetry,constrained,defined,respectively,Then,theorems,kinds,proved,In,end,examples,given,explain,applications,results
AB值：
0.348362
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