Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems
The aim of this paper is to extend the theory of lower and upper solutions to the periodic problem associated with planar systems of differential equations. We generalize previously given definitions and we are able to treat both the well-ordered case and the non-well-ordered case. The proofs involv...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-05-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2021-2117 |
| _version_ | 1817997025960001536 |
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| author | Fonda Alessandro Klun Giuliano Sfecci Andrea |
| author_facet | Fonda Alessandro Klun Giuliano Sfecci Andrea |
| author_sort | Fonda Alessandro |
| collection | DOAJ |
| description | The aim of this paper is to extend the theory of lower and upper solutions to the periodic problem associated with planar systems of differential equations. We generalize previously given definitions and we are able to treat both the well-ordered case and the non-well-ordered case. The proofs involve topological degree arguments, together with a detailed analysis of the solutions in the phase plane. |
| first_indexed | 2024-04-14T02:30:57Z |
| format | Article |
| id | doaj.art-52699190e41545139311a4ca5b8e93fc |
| institution | Directory Open Access Journal |
| issn | 1536-1365 2169-0375 |
| language | English |
| last_indexed | 2024-04-14T02:30:57Z |
| publishDate | 2021-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-52699190e41545139311a4ca5b8e93fc2022-12-22T02:17:40ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752021-05-0121239741910.1515/ans-2021-2117Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar SystemsFonda Alessandro0Klun Giuliano1Sfecci Andrea2Dipartimento di Matematica e Geoscienze, Università di Trieste, P.le Europa 1, I-34127Trieste, ItalyScuola Internazionale Superiore di Studi Avanzati, Via Bonomea 265, I-34136Trieste, ItalyDipartimento di Matematica e Geoscienze, Università di Trieste, P.le Europa 1, I-34127Trieste, ItalyThe aim of this paper is to extend the theory of lower and upper solutions to the periodic problem associated with planar systems of differential equations. We generalize previously given definitions and we are able to treat both the well-ordered case and the non-well-ordered case. The proofs involve topological degree arguments, together with a detailed analysis of the solutions in the phase plane.https://doi.org/10.1515/ans-2021-2117lower and upper solutionsperiodic systemsdegree theory34c25 |
| spellingShingle | Fonda Alessandro Klun Giuliano Sfecci Andrea Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems Advanced Nonlinear Studies lower and upper solutions periodic systems degree theory 34c25 |
| title | Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems |
| title_full | Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems |
| title_fullStr | Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems |
| title_full_unstemmed | Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems |
| title_short | Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems |
| title_sort | well ordered and non well ordered lower and upper solutions for periodic planar systems |
| topic | lower and upper solutions periodic systems degree theory 34c25 |
| url | https://doi.org/10.1515/ans-2021-2117 |
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