Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter
We investigate a class of variable coefficients singular third-order differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. By applications of Green’s function and the Krasnoselskii fixed point theorem, sufficient conditions for the e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/527162 |
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| _version_ | 1832559787206770688 |
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| author | Zhibo Cheng Yun Xin |
| author_facet | Zhibo Cheng Yun Xin |
| author_sort | Zhibo Cheng |
| collection | DOAJ |
| description | We investigate a class of variable coefficients singular third-order differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. By applications of Green’s function and the Krasnoselskii fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established. |
| format | Article |
| id | doaj-art-b3b8ebe470914393a85f920c9fa7c7da |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b3b8ebe470914393a85f920c9fa7c7da2025-02-03T01:29:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/527162527162Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a ParameterZhibo Cheng0Yun Xin1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaCollege of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, ChinaWe investigate a class of variable coefficients singular third-order differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. By applications of Green’s function and the Krasnoselskii fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established.http://dx.doi.org/10.1155/2014/527162 |
| spellingShingle | Zhibo Cheng Yun Xin Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter Abstract and Applied Analysis |
| title | Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter |
| title_full | Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter |
| title_fullStr | Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter |
| title_full_unstemmed | Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter |
| title_short | Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter |
| title_sort | multiplicity results for variable coefficient singular third order differential equation with a parameter |
| url | http://dx.doi.org/10.1155/2014/527162 |
| work_keys_str_mv | AT zhibocheng multiplicityresultsforvariablecoefficientsingularthirdorderdifferentialequationwithaparameter AT yunxin multiplicityresultsforvariablecoefficientsingularthirdorderdifferentialequationwithaparameter |