Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
By constructing a special cone in C1[0,2π] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/295209 |
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| _version_ | 1832556033918107648 |
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| author | Huiqin Lu |
| author_facet | Huiqin Lu |
| author_sort | Huiqin Lu |
| collection | DOAJ |
| description | By constructing a special cone in C1[0,2π]
and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results. |
| format | Article |
| id | doaj-art-ffd0daf7f1f84f5d801978b11f2d51d6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ffd0daf7f1f84f5d801978b11f2d51d62025-02-03T05:46:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/295209295209Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative DependenceHuiqin Lu0School of Mathematical Sciences, Shandong Normal University, Shandong, Jinan 250014, ChinaBy constructing a special cone in C1[0,2π] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results.http://dx.doi.org/10.1155/2012/295209 |
| spellingShingle | Huiqin Lu Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence Journal of Applied Mathematics |
| title | Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence |
| title_full | Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence |
| title_fullStr | Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence |
| title_full_unstemmed | Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence |
| title_short | Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence |
| title_sort | multiple positive solutions for singular semipositone periodic boundary value problems with derivative dependence |
| url | http://dx.doi.org/10.1155/2012/295209 |
| work_keys_str_mv | AT huiqinlu multiplepositivesolutionsforsingularsemipositoneperiodicboundaryvalueproblemswithderivativedependence |