Theorems on <i>n</i>-dimensional Laplace transforms and their applications

Abstract

In the present paper we prove certain theorems involving the classical Laplace transform of $n$-variables. The theorems are then shown to yield a nice algorithm for evaluating $n$-dimensional Laplace transform pairs. In the second part, boundary value problems are solved by using the double Laplace transformation.

Keywords

• Multi-dimensional Laplace transforms.