Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs
A class of nonlinear sum operator equations with a parameter on order Banach spaces were considered. The existence and uniqueness of positive solutions for this kind of operator equations and the dependence of solutions on the parameter have been obtained by using the properties of cone and nonlinea...
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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/10.1155/2014/259016 |
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| _version_ | 1849306115732406272 |
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| author | Wen-Xia Wang Xi-Lan Liu Piao-Piao Shi |
| author_facet | Wen-Xia Wang Xi-Lan Liu Piao-Piao Shi |
| author_sort | Wen-Xia Wang |
| collection | DOAJ |
| description | A class of nonlinear sum operator equations with a parameter on order Banach spaces were considered. The existence and uniqueness of positive solutions for this kind of operator equations and the dependence of solutions on the parameter have been obtained by using the properties of cone and nonlinear analysis methods. The critical value of the parameter was estimated. Further, the application to some nonlinear three-point boundary value problems was given to show the significance of the discussion. |
| format | Article |
| id | doaj-art-393c59c296324ba9a0af1e12f7be30ad |
| 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-393c59c296324ba9a0af1e12f7be30ad2025-08-20T03:55:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/259016259016Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPsWen-Xia Wang0Xi-Lan Liu1Piao-Piao Shi2Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, ChinaDepartment of Mathematics and Statistics, Qinghai Nationalities University, Xining 810007, ChinaSchool of Mathematics, Jinzhong University, Jinzhong 030600, ChinaA class of nonlinear sum operator equations with a parameter on order Banach spaces were considered. The existence and uniqueness of positive solutions for this kind of operator equations and the dependence of solutions on the parameter have been obtained by using the properties of cone and nonlinear analysis methods. The critical value of the parameter was estimated. Further, the application to some nonlinear three-point boundary value problems was given to show the significance of the discussion.http://dx.doi.org/10.1155/2014/259016 |
| spellingShingle | Wen-Xia Wang Xi-Lan Liu Piao-Piao Shi Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs Abstract and Applied Analysis |
| title | Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs |
| title_full | Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs |
| title_fullStr | Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs |
| title_full_unstemmed | Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs |
| title_short | Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs |
| title_sort | nonlinear sum operator equations with a parameter and application to second order three point bvps |
| url | http://dx.doi.org/10.1155/2014/259016 |
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