广义经典力学系统的第一积分与变分方程特解的联系

CONNEXION OF FIRST INTEGRALS WITH PARTICULAR SOLUTIONS OF THE VARIATIONAL EQUATIONS FOR SYSTEMS OF GENERALIZED CLASSICAL MECHANICS

给出了广义经典力学系统的变分方程 ,研究了变分方程的解与系统的第一积分之间的联系 ,并证明可由系统的第一积分求得变分方程的特解 .

This paper presents the variational equations for systems of generalized classical mechanics and studies the connexion of their solutions with the first integrals of the systems. By using a first integral, a particular solution of the variational equations is obtained and an example is given.