On finite products 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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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24873/ http://psasir.upm.edu.my/id/eprint/24873/1/On%20finite%20products%20of%20convolutions%20and%20classifications%20of%20hyperbolic%20and%20elliptic%20equations.pdf |
| _version_ | 1848845154662744064 |
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| author | Kilicman, Adem Eltayeb, Hassan |
| author_facet | Kilicman, Adem Eltayeb, Hassan |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:42:18Z |
| format | Article |
| id | upm-24873 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:18Z |
| publishDate | 2011 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248732015-09-21T01:22:31Z http://psasir.upm.edu.my/id/eprint/24873/ On finite products of convolutions and classifications of hyperbolic and elliptic equations. Kilicman, Adem Eltayeb, Hassan 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 2011-11 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24873/1/On%20finite%20products%20of%20convolutions%20and%20classifications%20of%20hyperbolic%20and%20elliptic%20equations.pdf Kilicman, Adem and Eltayeb, Hassan (2011) On finite products of convolutions and classifications of hyperbolic and elliptic equations. Mathematical and Computer Modelling, 54 (9-10). pp. 2211-2219. ISSN 0895-7177 http://www.elsevier.com/ 10.1016/j.mcm.2011.05.031 English |
| spellingShingle | Kilicman, Adem Eltayeb, Hassan On finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| title | On finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| title_full | On finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| title_fullStr | On finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| title_full_unstemmed | On finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| title_short | On finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| title_sort | on finite products of convolutions and classifications of hyperbolic and elliptic equations. |
| url | http://psasir.upm.edu.my/id/eprint/24873/ http://psasir.upm.edu.my/id/eprint/24873/ http://psasir.upm.edu.my/id/eprint/24873/ http://psasir.upm.edu.my/id/eprint/24873/1/On%20finite%20products%20of%20convolutions%20and%20classifications%20of%20hyperbolic%20and%20elliptic%20equations.pdf |