On finite product Of convolutions and classifications of hyperbolic and elliptic equations.

In this paper we consider the linear second order partial differential equation with non-constant coefficients; then by using the double convolution product we produce new equations with polynomials coefficients and we classify the new equations. It is shown that the classifications of hyperbolic an...

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Main Authors: Kilicman, Adem, Eltayeb, H.
Format: Article
Language:English
English
Published: Elsevier 2011
Online Access:http://psasir.upm.edu.my/id/eprint/15898/1/On%20finite%20products%20of%20convolutions%20and%20classifications%20of%20hyperbolic%20and%20elliptic%20equations.pdf
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author Kilicman, Adem
Eltayeb, H.
author_facet Kilicman, Adem
Eltayeb, H.
author_sort Kilicman, Adem
collection UPM
description In this paper we consider the linear second order partial differential equation with non-constant coefficients; then by using the double convolution product we produce new equations with polynomials coefficients and we classify the new equations. It is shown that the classifications of hyperbolic and elliptic new equations are similar to the original equations that is the classification is invariant after finite double convolutions product.
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spelling upm.eprints-158982015-09-22T01:47:40Z http://psasir.upm.edu.my/id/eprint/15898/ On finite product Of convolutions and classifications of hyperbolic and elliptic equations. Kilicman, Adem Eltayeb, H. In this paper we consider the linear second order partial differential equation with non-constant coefficients; then by using the double convolution product we produce new equations with polynomials coefficients and we classify the new equations. It is shown that the classifications of hyperbolic and elliptic new equations are similar to the original equations that is the classification is invariant after finite double convolutions product. Elsevier 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15898/1/On%20finite%20products%20of%20convolutions%20and%20classifications%20of%20hyperbolic%20and%20elliptic%20equations.pdf Kilicman, Adem and Eltayeb, H. (2011) On finite product Of convolutions and classifications of hyperbolic and elliptic equations. Mathematical and Computer Modelling, 54 (9-10). pp. 2211-2219. ISSN 0895-7177 10.1016/j.mcm.2011.05.031 English
spellingShingle Kilicman, Adem
Eltayeb, H.
On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
title On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
title_full On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
title_fullStr On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
title_full_unstemmed On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
title_short On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
title_sort on finite product of convolutions and classifications of hyperbolic and elliptic equations
url http://psasir.upm.edu.my/id/eprint/15898/1/On%20finite%20products%20of%20convolutions%20and%20classifications%20of%20hyperbolic%20and%20elliptic%20equations.pdf
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