New theorems of association of variables in multiple dimensional Laplace transform

Abstract

Abstract In non-linear systems analysis, multiple dimensional Laplace transform is often applied in solving the volterra model. The special technique for the inverse Laplace transform solution is called the association of variables. Three new thoorems are developed for the theory of association. Compared with the inspection method of Brilliant, the pair listing method of Lubbock, the new approach is much simpler and easier and more systematic. Several illustrative examples are included.