A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
In this work we consider the hyperbolic and elliptic partial differential equations with constant coefficients; then by using double convolutions we produce new equations with polynomial coefficients and classify the new equations. It is shown that the classifications of hyperbolic and elliptic equa...
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| Format: | Article |
| Language: | English English |
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Elsevier
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/7013/1/A%20note%20on%20the%20classifications%20of%20hyperbolic%20and%20elliptic%20equations%20with%20polynomial%20coefficients.pdf |
| _version_ | 1825944125410639872 |
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| author | Kilicman, Adem Eltayeb, Hassan |
| author_facet | Kilicman, Adem Eltayeb, Hassan |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | In this work we consider the hyperbolic and elliptic partial differential equations with constant coefficients; then by using double convolutions we produce new equations with polynomial coefficients and classify the new equations. It is shown that the classifications of hyperbolic and elliptic equations with non-constant coefficients are similar to those of the original equations; that is, the equations are invariant under double convolutions. |
| first_indexed | 2024-03-06T07:10:59Z |
| format | Article |
| id | upm.eprints-7013 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:10:59Z |
| publishDate | 2008 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | upm.eprints-70132015-09-28T08:17:58Z http://psasir.upm.edu.my/id/eprint/7013/ A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients Kilicman, Adem Eltayeb, Hassan In this work we consider the hyperbolic and elliptic partial differential equations with constant coefficients; then by using double convolutions we produce new equations with polynomial coefficients and classify the new equations. It is shown that the classifications of hyperbolic and elliptic equations with non-constant coefficients are similar to those of the original equations; that is, the equations are invariant under double convolutions. Elsevier 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7013/1/A%20note%20on%20the%20classifications%20of%20hyperbolic%20and%20elliptic%20equations%20with%20polynomial%20coefficients.pdf Kilicman, Adem and Eltayeb, Hassan (2008) A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients. Applied Mathematics Letters, 21 (11). pp. 1124-1128. ISSN 0893-9659 http://dx.doi.org/10.1016/j.aml.2007.11.002 10.1016/j.aml.2007.11.002 English |
| spellingShingle | Kilicman, Adem Eltayeb, Hassan A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| title | A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| title_full | A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| title_fullStr | A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| title_full_unstemmed | A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| title_short | A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| title_sort | note on the classifications of hyperbolic and elliptic equations with polynomial coefficients |
| url | http://psasir.upm.edu.my/id/eprint/7013/1/A%20note%20on%20the%20classifications%20of%20hyperbolic%20and%20elliptic%20equations%20with%20polynomial%20coefficients.pdf |
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