Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel
In this paper, we obtain some sufficient conditions for the existence of $2\pi$-periodic solutions of some semilinear equations at resonance where the kernel of the linear part has dimension $2n(n\ge 1)$. Our technique essentially bases on the Brouwer degree theory and Mawhin's coincidence degr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
1999-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5 |
| _version_ | 1827951450482802688 |
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| author | M. Shiwang Zicheng Wang |
| author_facet | M. Shiwang Zicheng Wang |
| author_sort | M. Shiwang |
| collection | DOAJ |
| description | In this paper, we obtain some sufficient conditions for the existence of $2\pi$-periodic solutions of some semilinear equations at resonance where the kernel of the linear part has dimension $2n(n\ge 1)$. Our technique essentially bases on the Brouwer degree theory and Mawhin's coincidence degree theory. |
| first_indexed | 2024-04-09T13:43:03Z |
| format | Article |
| id | doaj.art-c4c7a936341d42258e1840108a41bd60 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:43:03Z |
| publishDate | 1999-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-c4c7a936341d42258e1840108a41bd602023-05-09T07:52:56ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751999-01-011999211310.14232/ejqtde.1999.1.25Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernelM. Shiwang0Zicheng Wang1Huazhong University of Science and Technology, Wuhan, P. R. ChinaHunan University, Changsha, P. R. ChinaIn this paper, we obtain some sufficient conditions for the existence of $2\pi$-periodic solutions of some semilinear equations at resonance where the kernel of the linear part has dimension $2n(n\ge 1)$. Our technique essentially bases on the Brouwer degree theory and Mawhin's coincidence degree theory.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5 |
| spellingShingle | M. Shiwang Zicheng Wang Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel Electronic Journal of Qualitative Theory of Differential Equations |
| title | Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel |
| title_full | Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel |
| title_fullStr | Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel |
| title_full_unstemmed | Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel |
| title_short | Periodic solutions of semilinear equations at resonance with a $2n$-dimensional kernel |
| title_sort | periodic solutions of semilinear equations at resonance with a 2n dimensional kernel |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5 |
| work_keys_str_mv | AT mshiwang periodicsolutionsofsemilinearequationsatresonancewitha2ndimensionalkernel AT zichengwang periodicsolutionsofsemilinearequationsatresonancewitha2ndimensionalkernel |