elasticity, pressure, integral conversions, image, waves, liquid, half-space.

The solution of this problem in image is achieved with this method. However, the reference of images is not always possible, and often represents a serious mathematical difficulty. Kanyar offered a new method of the reference of integral transformation, which is widely applied in dynamic problems of the theory of elasticity. The essence of Kanyar’s method is that after return transformations of the image in the spatial variable and a suitable choice of system of co-ordinates the image is led to Laplas time transformation for a known function where the original of solution is found. The method of the integral transformations reference which essence is that after fining Laplas time return transformation on a spatial variable for a known function is given, where the original of the solution is found. The effective decision of an unsolved problem of the waves of pressure extending in liquid compressed elastic semispace at superficial loadings extending with any speed is given an example of the method application