Positive solutions for singular second order differential equations with integral boundary conditions
In this paper, we study the existence of positive solutions for the singular second order integral boundary value problem [unable to display problem], where c(t) is allowed to be singular at t=0,1 and f(u) may be singular at u=0. The existence of positive solutions for the above problem is establish...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Pergamon
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/5046 |
| _version_ | 1848744686552875008 |
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| author | Liu, Lishan Hao, Xinan Wu, Yong Hong |
| author_facet | Liu, Lishan Hao, Xinan Wu, Yong Hong |
| author_sort | Liu, Lishan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the existence of positive solutions for the singular second order integral boundary value problem [unable to display problem], where c(t) is allowed to be singular at t=0,1 and f(u) may be singular at u=0. The existence of positive solutions for the above problem is established by applying the fixed point index theorems under some weaker conditions concerning the first eigenvalue corresponding to the relevant linear operator. The results obtained herein generalize and improve some known results including singular and non-singular cases. |
| first_indexed | 2025-11-14T06:05:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-5046 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:05:25Z |
| publishDate | 2013 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-50462017-09-13T14:39:53Z Positive solutions for singular second order differential equations with integral boundary conditions Liu, Lishan Hao, Xinan Wu, Yong Hong Positive solution Cone Integral boundary value problem Fixed point index Singular In this paper, we study the existence of positive solutions for the singular second order integral boundary value problem [unable to display problem], where c(t) is allowed to be singular at t=0,1 and f(u) may be singular at u=0. The existence of positive solutions for the above problem is established by applying the fixed point index theorems under some weaker conditions concerning the first eigenvalue corresponding to the relevant linear operator. The results obtained herein generalize and improve some known results including singular and non-singular cases. 2013 Journal Article http://hdl.handle.net/20.500.11937/5046 10.1016/j.mcm.2012.09.012 Pergamon unknown |
| spellingShingle | Positive solution Cone Integral boundary value problem Fixed point index Singular Liu, Lishan Hao, Xinan Wu, Yong Hong Positive solutions for singular second order differential equations with integral boundary conditions |
| title | Positive solutions for singular second order differential equations with integral boundary conditions |
| title_full | Positive solutions for singular second order differential equations with integral boundary conditions |
| title_fullStr | Positive solutions for singular second order differential equations with integral boundary conditions |
| title_full_unstemmed | Positive solutions for singular second order differential equations with integral boundary conditions |
| title_short | Positive solutions for singular second order differential equations with integral boundary conditions |
| title_sort | positive solutions for singular second order differential equations with integral boundary conditions |
| topic | Positive solution Cone Integral boundary value problem Fixed point index Singular |
| url | http://hdl.handle.net/20.500.11937/5046 |