Positive solutions for second order differential systems with nonlocal conditions
A class of second order differential systems with nonlocal conditions is considered under some conditions concerning the first eigenvalue of the relevant linear problem. By constructing a cone K1 × K2 which is the Cartesian product of two cones and computing the fixed point index in K1 × K2, the exi...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
HOUSE BOOK SCIENCE-CASA CARTII STIINTA
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/32565 |
| _version_ | 1848753698564472832 |
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| author | Hao, X. Liu, L. Wu, Yong Hong |
| author_facet | Hao, X. Liu, L. Wu, Yong Hong |
| author_sort | Hao, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A class of second order differential systems with nonlocal conditions is considered under some conditions concerning the first eigenvalue of the relevant linear problem. By constructing a cone K1 × K2 which is the Cartesian product of two cones and computing the fixed point index in K1 × K2, the existence of positive solutions for the systems is established. An example is provided to illustrate the main results. |
| first_indexed | 2025-11-14T08:28:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-32565 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:28:39Z |
| publishDate | 2012 |
| publisher | HOUSE BOOK SCIENCE-CASA CARTII STIINTA |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-325652017-01-30T13:31:40Z Positive solutions for second order differential systems with nonlocal conditions Hao, X. Liu, L. Wu, Yong Hong A class of second order differential systems with nonlocal conditions is considered under some conditions concerning the first eigenvalue of the relevant linear problem. By constructing a cone K1 × K2 which is the Cartesian product of two cones and computing the fixed point index in K1 × K2, the existence of positive solutions for the systems is established. An example is provided to illustrate the main results. 2012 Journal Article http://hdl.handle.net/20.500.11937/32565 HOUSE BOOK SCIENCE-CASA CARTII STIINTA fulltext |
| spellingShingle | Hao, X. Liu, L. Wu, Yong Hong Positive solutions for second order differential systems with nonlocal conditions |
| title | Positive solutions for second order differential systems with nonlocal conditions |
| title_full | Positive solutions for second order differential systems with nonlocal conditions |
| title_fullStr | Positive solutions for second order differential systems with nonlocal conditions |
| title_full_unstemmed | Positive solutions for second order differential systems with nonlocal conditions |
| title_short | Positive solutions for second order differential systems with nonlocal conditions |
| title_sort | positive solutions for second order differential systems with nonlocal conditions |
| url | http://hdl.handle.net/20.500.11937/32565 |