2001•DOAJ (DOAJ: Directory of Open Access Journals)Open access

Systems of multi-dimensional Laplace transforms and a heat equation

Ali Babakhani, R. S. Dahiya

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.

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Available abstract

Key concepts: Laplace transform, Post's inversion formula, Laplace transform applied to differential equations, Green's function for the three-variable Laplace equation, Laplace's equation, Transformation (genetics), Two-sided Laplace transform, Laplace–Stieltjes transform