摘要
利用积分因子方法研究单面约束Birkhoff系统的守恒律。定义了单面约束Birkhoff系统运动微分方程的积分因子的概念;研究了系统存在守恒律的必要条件,建立了系统的积分因子与守恒律之间的关系,并给出了用于确定积分因子的广义Killing方程;研究了逆问题。文末举例说明结果的应用。
This paper studies the construction of conservation laws for the Birkhoffian systems with unilateral constraints by using the approach of integrating factors.Firstly,the definition of integrat-ing factors for the differential equations of motion of the systems is presented.Secondly,the neces-sary conditions for the existence of conserved quantities of the systems are studied in detail,and the relation between the conservation laws and the corresponding integrated factors is established,and the generalized Killing equations by which the integrating factors can be determined are pro-vided.Finally,the inverse problem is studied with an example given to illustrate the application of the results.
出处
《苏州科技学院学报（工程技术版）》
CAS
2003年第2期49-55,共7页
Journal of Suzhou University of Science and Technology （Engineering and Technology）
基金
江苏省高校自然科学基金(HB2001-28)
江苏省青蓝工程基金资助项目(HB2001-27)
