Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions
We investigate the existence of positive solutions for a nonlinear higher order differential system, where the differential system is coupled not only in the differential system but also through the boundary conditions. By constructing a special cone and using the fixed point theorem of cone expansi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/901094 |
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| _version_ | 1849685373498687488 |
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| author | Yaohong Li Haiyan Zhang |
| author_facet | Yaohong Li Haiyan Zhang |
| author_sort | Yaohong Li |
| collection | DOAJ |
| description | We investigate the existence of positive solutions for a nonlinear higher order differential system, where the differential system is coupled not only in the differential system but also through the boundary conditions. By constructing a special cone and using the fixed point theorem of cone expansion and compression of norm type, the existence of single and multiple positive solutions is established. As an application, we give some examples to demonstrate our results. |
| format | Article |
| id | doaj-art-c41ff51cb5cc477eb3dc480e0160fa49 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c41ff51cb5cc477eb3dc480e0160fa492025-08-20T03:23:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/901094901094Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary ConditionsYaohong Li0Haiyan Zhang1School of Mathematics and Statistics, Suzhou University, Anhui 234000, ChinaSchool of Mathematics and Statistics, Suzhou University, Anhui 234000, ChinaWe investigate the existence of positive solutions for a nonlinear higher order differential system, where the differential system is coupled not only in the differential system but also through the boundary conditions. By constructing a special cone and using the fixed point theorem of cone expansion and compression of norm type, the existence of single and multiple positive solutions is established. As an application, we give some examples to demonstrate our results.http://dx.doi.org/10.1155/2014/901094 |
| spellingShingle | Yaohong Li Haiyan Zhang Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions Journal of Applied Mathematics |
| title | Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions |
| title_full | Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions |
| title_fullStr | Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions |
| title_full_unstemmed | Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions |
| title_short | Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions |
| title_sort | positive solutions for a nonlinear higher order differential system with coupled integral boundary conditions |
| url | http://dx.doi.org/10.1155/2014/901094 |
| work_keys_str_mv | AT yaohongli positivesolutionsforanonlinearhigherorderdifferentialsystemwithcoupledintegralboundaryconditions AT haiyanzhang positivesolutionsforanonlinearhigherorderdifferentialsystemwithcoupledintegralboundaryconditions |