Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations
We study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007) . In some suitable weak si...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/575204 |
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| _version_ | 1832556649611526144 |
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| author | Zhongwei Cao Chengjun Yuan Xiuling Li |
| author_facet | Zhongwei Cao Chengjun Yuan Xiuling Li |
| author_sort | Zhongwei Cao |
| collection | DOAJ |
| description | We study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007)
. In some suitable weak singularities, the existence of periodic solutions may help. |
| format | Article |
| id | doaj-art-f64bee2ce135425aa8b38c0d90bcab97 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f64bee2ce135425aa8b38c0d90bcab972025-02-03T05:44:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/575204575204Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential EquationsZhongwei Cao0Chengjun Yuan1Xiuling Li2Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun, Jilin 130117, ChinaSchool of Mathematics and Computer, Harbin University, Harbin 150086, ChinaDepartment of Applied Mathematics, Jilin University of Finance and Economics, Changchun, Jilin 130117, ChinaWe study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007) . In some suitable weak singularities, the existence of periodic solutions may help.http://dx.doi.org/10.1155/2014/575204 |
| spellingShingle | Zhongwei Cao Chengjun Yuan Xiuling Li Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations Journal of Applied Mathematics |
| title | Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations |
| title_full | Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations |
| title_fullStr | Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations |
| title_full_unstemmed | Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations |
| title_short | Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations |
| title_sort | applications of schauder s fixed point theorem to semipositone singular differential equations |
| url | http://dx.doi.org/10.1155/2014/575204 |
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