Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions
In this article, we study the existence and multiplicity of positive periodic solutions for second-order non-autonomous dynamical systems when Green's functions are non-negative. The proofs are based on a nonlinear alternative principle of Leray-Schauder and the fixed point theorem in cones....
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| Format: | Article |
| Language: | English |
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Texas State University
2019-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/47/abstr.html |
| _version_ | 1818419781306417152 |
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| author | Yongxin Jiang |
| author_facet | Yongxin Jiang |
| author_sort | Yongxin Jiang |
| collection | DOAJ |
| description | In this article, we study the existence and multiplicity of positive
periodic solutions for second-order non-autonomous dynamical systems
when Green's functions are non-negative. The proofs are based on a nonlinear
alternative principle of Leray-Schauder and the fixed point theorem in cones.
Some recent results in the literature are generalized and improved. |
| first_indexed | 2024-12-14T12:44:01Z |
| format | Article |
| id | doaj.art-4d5b12c25adf4a4db8423fde2fb17425 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T12:44:01Z |
| publishDate | 2019-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4d5b12c25adf4a4db8423fde2fb174252022-12-21T23:00:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-04-01201947,112Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functionsYongxin Jiang0 Hohai Univ., Nanjing, China In this article, we study the existence and multiplicity of positive periodic solutions for second-order non-autonomous dynamical systems when Green's functions are non-negative. The proofs are based on a nonlinear alternative principle of Leray-Schauder and the fixed point theorem in cones. Some recent results in the literature are generalized and improved.http://ejde.math.txstate.edu/Volumes/2019/47/abstr.htmlVanishing Green's functionLeray-Schauder alternativefixed point theorem in cones |
| spellingShingle | Yongxin Jiang Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions Electronic Journal of Differential Equations Vanishing Green's function Leray-Schauder alternative fixed point theorem in cones |
| title | Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions |
| title_full | Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions |
| title_fullStr | Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions |
| title_full_unstemmed | Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions |
| title_short | Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions |
| title_sort | periodic solutions of second order non autonomous dynamical systems with vanishing green s functions |
| topic | Vanishing Green's function Leray-Schauder alternative fixed point theorem in cones |
| url | http://ejde.math.txstate.edu/Volumes/2019/47/abstr.html |
| work_keys_str_mv | AT yongxinjiang periodicsolutionsofsecondordernonautonomousdynamicalsystemswithvanishinggreensfunctions |