Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays
In this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established. It should be pointed out that the equations we studied ar...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/9/1286 |
| _version_ | 1797488672130465792 |
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| author | Zejian Dai Bo Du |
| author_facet | Zejian Dai Bo Du |
| author_sort | Zejian Dai |
| collection | DOAJ |
| description | In this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established. It should be pointed out that the equations we studied are more general. Therefore, the results of this paper have better applicability. |
| first_indexed | 2024-03-10T00:05:40Z |
| format | Article |
| id | doaj.art-c8ee0199457e446fb52d01f73932da6d |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T00:05:40Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-c8ee0199457e446fb52d01f73932da6d2023-11-23T16:09:06ZengMDPI AGEntropy1099-43002022-09-01249128610.3390/e24091286Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed DelaysZejian Dai0Bo Du1School of Mathematics and Statistics, Chaohu University, Chaohu 238024, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, ChinaIn this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established. It should be pointed out that the equations we studied are more general. Therefore, the results of this paper have better applicability.https://www.mdpi.com/1099-4300/24/9/1286fixed point theorempositive periodic solutionexistenceneutral |
| spellingShingle | Zejian Dai Bo Du Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays Entropy fixed point theorem positive periodic solution existence neutral |
| title | Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays |
| title_full | Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays |
| title_fullStr | Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays |
| title_full_unstemmed | Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays |
| title_short | Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays |
| title_sort | positive periodic solution for second order nonlinear differential equations with variable coefficients and mixed delays |
| topic | fixed point theorem positive periodic solution existence neutral |
| url | https://www.mdpi.com/1099-4300/24/9/1286 |
| work_keys_str_mv | AT zejiandai positiveperiodicsolutionforsecondordernonlineardifferentialequationswithvariablecoefficientsandmixeddelays AT bodu positiveperiodicsolutionforsecondordernonlineardifferentialequationswithvariablecoefficientsandmixeddelays |