College of Physics and Communication Electronics,Jiangxi Normal University, Nanchang 330027, China
Abstract:
Based on the three-order Lagrangian equation, pseudo-Hamiltonaction I* is defined and the three-order Hamilton'sprinciple and the conditions are obtained in the paper. Then,the Noether symmetry about three-order Lagrangian equations isdeduced. Finally, an example is given to illustrate the application of the result.