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