Positive solutions for singular three-point boundary-value problems
Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: $$displaylines{ y''(t)+a(t)f(t,y(t),y'(t))=0,quad 0<t<1,cr y�...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/116/abstr.html |
| _version_ | 1818766124940001280 |
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| author | Baoqiang Yan Donal O'Regan Ravi P. Agarwal |
| author_facet | Baoqiang Yan Donal O'Regan Ravi P. Agarwal |
| author_sort | Baoqiang Yan |
| collection | DOAJ |
| description | Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: $$displaylines{ y''(t)+a(t)f(t,y(t),y'(t))=0,quad 0<t<1,cr y'(0)=0,quad y(1)=alpha y(eta), }$$ where $0<alpha<1$, $0<eta<1$, and $f$ may be singular at $y=0$ and $y'=0$. |
| first_indexed | 2024-12-18T08:29:00Z |
| format | Article |
| id | doaj.art-147044babaf34a2383188673b5f4ca3a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T08:29:00Z |
| publishDate | 2008-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-147044babaf34a2383188673b5f4ca3a2022-12-21T21:14:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-08-012008116120Positive solutions for singular three-point boundary-value problemsBaoqiang YanDonal O'ReganRavi P. AgarwalUsing the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: $$displaylines{ y''(t)+a(t)f(t,y(t),y'(t))=0,quad 0<t<1,cr y'(0)=0,quad y(1)=alpha y(eta), }$$ where $0<alpha<1$, $0<eta<1$, and $f$ may be singular at $y=0$ and $y'=0$.http://ejde.math.txstate.edu/Volumes/2008/116/abstr.htmlThree-point boundary value problemssingularitypositive solutionsfixed point index |
| spellingShingle | Baoqiang Yan Donal O'Regan Ravi P. Agarwal Positive solutions for singular three-point boundary-value problems Electronic Journal of Differential Equations Three-point boundary value problems singularity positive solutions fixed point index |
| title | Positive solutions for singular three-point boundary-value problems |
| title_full | Positive solutions for singular three-point boundary-value problems |
| title_fullStr | Positive solutions for singular three-point boundary-value problems |
| title_full_unstemmed | Positive solutions for singular three-point boundary-value problems |
| title_short | Positive solutions for singular three-point boundary-value problems |
| title_sort | positive solutions for singular three point boundary value problems |
| topic | Three-point boundary value problems singularity positive solutions fixed point index |
| url | http://ejde.math.txstate.edu/Volumes/2008/116/abstr.html |
| work_keys_str_mv | AT baoqiangyan positivesolutionsforsingularthreepointboundaryvalueproblems AT donaloregan positivesolutionsforsingularthreepointboundaryvalueproblems AT ravipagarwal positivesolutionsforsingularthreepointboundaryvalueproblems |