Heteroclinic connections for a class of non-autonomous systems
We prove the existence of heteroclinic connections for a system of ordinary differential equations, with time-dependent coefficients, which is reminiscent of the ODE arising in connection with traveling waves for the Fisher equation. The approach is elementary and it allows in particular the study o...
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| Format: | Article |
| Language: | English |
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Texas State University
2001-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/06/s1/abstr.html |
| _version_ | 1818178020764024832 |
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| author | L. Sanchez |
| author_facet | L. Sanchez |
| author_sort | L. Sanchez |
| collection | DOAJ |
| description | We prove the existence of heteroclinic connections for a system of ordinary differential equations, with time-dependent coefficients, which is reminiscent of the ODE arising in connection with traveling waves for the Fisher equation. The approach is elementary and it allows in particular the study of the existence of positive solutions for the same system that vanish on the boundary of an interval $(t_0,+infty)$. |
| first_indexed | 2024-12-11T20:41:21Z |
| format | Article |
| id | doaj.art-c82831e99cf54d41ac01ec93c4dec45a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T20:41:21Z |
| publishDate | 2001-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-c82831e99cf54d41ac01ec93c4dec45a2022-12-22T00:51:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-01-01Conference06257266Heteroclinic connections for a class of non-autonomous systemsL. SanchezWe prove the existence of heteroclinic connections for a system of ordinary differential equations, with time-dependent coefficients, which is reminiscent of the ODE arising in connection with traveling waves for the Fisher equation. The approach is elementary and it allows in particular the study of the existence of positive solutions for the same system that vanish on the boundary of an interval $(t_0,+infty)$.http://ejde.math.txstate.edu/conf-proc/06/s1/abstr.htmlHeteroclinicsFisher equation. |
| spellingShingle | L. Sanchez Heteroclinic connections for a class of non-autonomous systems Electronic Journal of Differential Equations Heteroclinics Fisher equation. |
| title | Heteroclinic connections for a class of non-autonomous systems |
| title_full | Heteroclinic connections for a class of non-autonomous systems |
| title_fullStr | Heteroclinic connections for a class of non-autonomous systems |
| title_full_unstemmed | Heteroclinic connections for a class of non-autonomous systems |
| title_short | Heteroclinic connections for a class of non-autonomous systems |
| title_sort | heteroclinic connections for a class of non autonomous systems |
| topic | Heteroclinics Fisher equation. |
| url | http://ejde.math.txstate.edu/conf-proc/06/s1/abstr.html |
| work_keys_str_mv | AT lsanchez heteroclinicconnectionsforaclassofnonautonomoussystems |