Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations
The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-01-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2016-0033 |
| _version_ | 1818689952455589888 |
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| author | Dorociaková Božena Olach Rudolf |
| author_facet | Dorociaková Božena Olach Rudolf |
| author_sort | Dorociaková Božena |
| collection | DOAJ |
| description | The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered. |
| first_indexed | 2024-12-17T12:18:17Z |
| format | Article |
| id | doaj.art-eda239fa828e417faa3d76009a0eafa2 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T12:18:17Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-eda239fa828e417faa3d76009a0eafa22022-12-21T21:49:06ZengDe GruyterOpen Mathematics2391-54552016-01-0114136136910.1515/math-2016-0033math-2016-0033Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equationsDorociaková Božena0Olach Rudolf1Department of Applied Mathematics, Faculty of Mechanical Engineering University of Žilina, Univerzitná 1, 010 26 Žilina, Slovak Republic SlovakiaDepartment of Applied Mathematics, Faculty of Mechanical Engineering University of Žilina, Univerzitná 1, 010 26 Žilina, Slovak Republic SlovakiaThe paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered.https://doi.org/10.1515/math-2016-0033positive periodic solutiondelay differential equationnonlinearexponential stabilityred blood cellsbanach space34k13 |
| spellingShingle | Dorociaková Božena Olach Rudolf Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations Open Mathematics positive periodic solution delay differential equation nonlinear exponential stability red blood cells banach space 34k13 |
| title | Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations |
| title_full | Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations |
| title_fullStr | Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations |
| title_full_unstemmed | Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations |
| title_short | Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations |
| title_sort | some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations |
| topic | positive periodic solution delay differential equation nonlinear exponential stability red blood cells banach space 34k13 |
| url | https://doi.org/10.1515/math-2016-0033 |
| work_keys_str_mv | AT dorociakovabozena somenotestoexistenceandstabilityofthepositiveperiodicsolutionsforadelayednonlineardifferentialequations AT olachrudolf somenotestoexistenceandstabilityofthepositiveperiodicsolutionsforadelayednonlineardifferentialequations |