Surveys in Mathematics and its Applications

ISSN1842-6298 (electronic), 1843-7265 (print)

Volume 6 (2011), 165 -- 174## CERTAIN THEOREMS ON TWO DIMENSIONAL LAPLACE TRANSFORM AND NON-HOMOGENEOUS PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

## A. Aghili and B. Parsa Moghaddam

Abstract. In this work,we present new theorems on two-dimensional Laplace transformation. We also develop some applications based on these results. The two-dimensional Laplace transformation is useful in the solution of non-homogeneous partial differential equations. In the last section a boundary value problem is solved by using the double Laplace-Carson transform.2010 Mathematics Subject Classification:Primary 44A30; Secondary 35L05.

Keywords:Two-dimensional Laplace transform; Two-dimensional Laplace-Carson transforms; Heat equation.

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Arman Aghili Behrouz Parsa Moghaddam Department of Mathematics, Department of Mathematics, University of Guilan, Islamic Azad University, P.O.Box 1841, Rasht, Iran. P.O.Box 1616, Lahijan, Iran. e-mail: armanaghili@yahoo.co e-mail: parsa.math@yahoo.com