A new way to solve the inverse problem of the firstorder Lagrangian mechanics was presented. The main solution constructing directly from the Lagrangian from firstorder differential equation and some special solutions corresponding to different additional conditions were given. An example was given to illustrate the application of the results.
丁光涛.一阶Lagrange力学逆问题的直接解法[J].动力学与控制学报,2010,8(3):193~196; Ding Guangtao. Direct solutions for inverse problem of firstorder Lagrangian mechanics[J]. Journal of Dynamics and Control,2010,8(3):193-196.