Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter
Abstract In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for λ is derived such that for any λ lying in this interval, the exis...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0776-y |
| _version_ | 1811322536867135488 |
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| author | Ying Wang Jing Li Zengxia Cai |
| author_facet | Ying Wang Jing Li Zengxia Cai |
| author_sort | Ying Wang |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for λ is derived such that for any λ lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed. |
| first_indexed | 2024-04-13T13:36:48Z |
| format | Article |
| id | doaj.art-51be2d9bf0f5424a9d321908e4d9175d |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-13T13:36:48Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-51be2d9bf0f5424a9d321908e4d9175d2022-12-22T02:44:45ZengSpringerOpenBoundary Value Problems1687-27702017-04-012017111110.1186/s13661-017-0776-yPositive solutions of periodic boundary value problems for the second-order differential equation with a parameterYing Wang0Jing Li1Zengxia Cai2School of Mathematics and Statistics, Linyi UniversitySchool of Mathematics and Statistics, Linyi UniversitySchool of Mathematics and Statistics, Linyi UniversityAbstract In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for λ is derived such that for any λ lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.http://link.springer.com/article/10.1186/s13661-017-0776-ypositive solutionperiodic boundary conditionssecond-order differential equationsingularity |
| spellingShingle | Ying Wang Jing Li Zengxia Cai Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter Boundary Value Problems positive solution periodic boundary conditions second-order differential equation singularity |
| title | Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter |
| title_full | Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter |
| title_fullStr | Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter |
| title_full_unstemmed | Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter |
| title_short | Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter |
| title_sort | positive solutions of periodic boundary value problems for the second order differential equation with a parameter |
| topic | positive solution periodic boundary conditions second-order differential equation singularity |
| url | http://link.springer.com/article/10.1186/s13661-017-0776-y |
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