2006•International Mathematical ForumOpen access

Multi-dimensional Laplace transforms and systems of partial differential equations

Arman Aghili, B. Salkhordeh Moghaddam

Abstract

The object of this paper is to establish new theorem and corollary involving systems of two-dimensional Laplace transforms containing several equations. This system can be used to calculate new Laplace transform pairs. In the second part, system of partial differential equations related to telegraph equation is solved by using the double Laplace transformation. Mathematics Subject Classification: Primary 44A30, Secondary 35L05

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Key concepts: Laplace transform, Partial differential equation, Laplace transform applied to differential equations, Green's function for the three-variable Laplace equation, Laplace's equation, Mathematical analysis, Differential equation, Mathematics