Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals
In this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2024/5141636 |
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| _version_ | 1849398103477583872 |
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| author | Bilal Ghermoul |
| author_facet | Bilal Ghermoul |
| author_sort | Bilal Ghermoul |
| collection | DOAJ |
| description | In this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic. |
| format | Article |
| id | doaj-art-a24d3cbb38c0485f9c002eee18bfaf9e |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a24d3cbb38c0485f9c002eee18bfaf9e2025-08-20T03:38:43ZengWileyInternational Journal of Differential Equations1687-96512024-01-01202410.1155/2024/5141636Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First IntegralsBilal Ghermoul0Department of MathematicsIn this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.http://dx.doi.org/10.1155/2024/5141636 |
| spellingShingle | Bilal Ghermoul Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals International Journal of Differential Equations |
| title | Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals |
| title_full | Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals |
| title_fullStr | Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals |
| title_full_unstemmed | Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals |
| title_short | Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals |
| title_sort | planar polynomial differential systems of degree one full characterization of its first integrals |
| url | http://dx.doi.org/10.1155/2024/5141636 |
| work_keys_str_mv | AT bilalghermoul planarpolynomialdifferentialsystemsofdegreeonefullcharacterizationofitsfirstintegrals |