Electronic Journal of Differential Equations, Conference 07 (2001), pp. 25-36. Title: Systems of multi-dimensional Laplace transforms and a heat equation. Authors: Ali Babakhani (Univ. of Tehran, Tehran, Iran) R. S. Dahiya (Iowa State Univ., Ames, IA, USA) Abstract: The object of this paper is to establish several new theorems involving systems of two-dimensional Laplace transforms containing five to seven equations. These systems can be used to calculate new Laplace transform pairs. In the second part, a boundary value problem is solved by using the double Laplace transformation. Published July 20, 2001. Math Subject Classifications: 44A30. Key Words: Two-dimensional Laplace transforms.