Abstract: This paper presents a new version of the generalized pulse-spectrum technique,which is popularly used for solving the inverse problem of differential equations. This version has the property of immunizing noises. The skill of aving computing time is also given in the process of choosing regularign parameters. In the end, the application on the inverse problem is seismic prospection is discussed, the numerical result of simulation is given.

Key words: the generalized pulse-spectrum technique, inverse problem of differential equations, seismic prospoction