Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations
We study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder. Truncation plays an important role in the analysis of the uniform positive lower bound for all the solutions of the equation. Re...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/310469 |
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| _version_ | 1849397450872193024 |
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| author | Xiumei Xing |
| author_facet | Xiumei Xing |
| author_sort | Xiumei Xing |
| collection | DOAJ |
| description | We study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder. Truncation plays an important role in the analysis of the uniform positive lower bound for all the solutions of the equation. Recent results in the literature (Chu et al., 2010) are generalized. |
| format | Article |
| id | doaj-art-aebcd0709e184aae8d83498e0a44e706 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-aebcd0709e184aae8d83498e0a44e7062025-08-20T03:38:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/310469310469Positive Periodic Solution for Second-Order Singular Semipositone Differential EquationsXiumei Xing0School of Mathematics and Statistics, Yili Normal University, Yining City 835000, ChinaWe study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder. Truncation plays an important role in the analysis of the uniform positive lower bound for all the solutions of the equation. Recent results in the literature (Chu et al., 2010) are generalized.http://dx.doi.org/10.1155/2013/310469 |
| spellingShingle | Xiumei Xing Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations Abstract and Applied Analysis |
| title | Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations |
| title_full | Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations |
| title_fullStr | Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations |
| title_full_unstemmed | Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations |
| title_short | Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations |
| title_sort | positive periodic solution for second order singular semipositone differential equations |
| url | http://dx.doi.org/10.1155/2013/310469 |
| work_keys_str_mv | AT xiumeixing positiveperiodicsolutionforsecondordersingularsemipositonedifferentialequations |