Spectral Analysis for a Singular Differential System with Integral Boundary Conditions
© 2016, Springer International Publishing.In this paper, by constructing a cone K1 × K2 in the Cartesian product space C[0, 1] × C[0, 1], and using spectral analysis of the relevant linear operator for the corresponding differential system, some properties of the first eigenvalue corresponding to th...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/52228 |
| _version_ | 1848758877397450752 |
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| author | Sun, F. Liu, Lishan Zhang, Xinguang Wu, Yong Hong |
| author_facet | Sun, F. Liu, Lishan Zhang, Xinguang Wu, Yong Hong |
| author_sort | Sun, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016, Springer International Publishing.In this paper, by constructing a cone K1 × K2 in the Cartesian product space C[0, 1] × C[0, 1], and using spectral analysis of the relevant linear operator for the corresponding differential system, some properties of the first eigenvalue corresponding to the relevant linear operator are obtained, and the fixed-point index of nonlinear operator in the K1 × K2 is calculated explicitly and the existence of at least one positive solution or two positive solutions of the singular differential system with integral boundary conditions is established. |
| first_indexed | 2025-11-14T09:50:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-52228 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:58Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-522282017-09-13T15:40:02Z Spectral Analysis for a Singular Differential System with Integral Boundary Conditions Sun, F. Liu, Lishan Zhang, Xinguang Wu, Yong Hong © 2016, Springer International Publishing.In this paper, by constructing a cone K1 × K2 in the Cartesian product space C[0, 1] × C[0, 1], and using spectral analysis of the relevant linear operator for the corresponding differential system, some properties of the first eigenvalue corresponding to the relevant linear operator are obtained, and the fixed-point index of nonlinear operator in the K1 × K2 is calculated explicitly and the existence of at least one positive solution or two positive solutions of the singular differential system with integral boundary conditions is established. 2016 Journal Article http://hdl.handle.net/20.500.11937/52228 10.1007/s00009-016-0774-9 restricted |
| spellingShingle | Sun, F. Liu, Lishan Zhang, Xinguang Wu, Yong Hong Spectral Analysis for a Singular Differential System with Integral Boundary Conditions |
| title | Spectral Analysis for a Singular Differential System with Integral Boundary Conditions |
| title_full | Spectral Analysis for a Singular Differential System with Integral Boundary Conditions |
| title_fullStr | Spectral Analysis for a Singular Differential System with Integral Boundary Conditions |
| title_full_unstemmed | Spectral Analysis for a Singular Differential System with Integral Boundary Conditions |
| title_short | Spectral Analysis for a Singular Differential System with Integral Boundary Conditions |
| title_sort | spectral analysis for a singular differential system with integral boundary conditions |
| url | http://hdl.handle.net/20.500.11937/52228 |