Nontrivial solutions for higher order multi-point boundary value problems
In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suit...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Elsevier
2008
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/44357 |
| _version_ | 1848756977844355072 |
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| author | Zhang, Xinguang Liu, L. |
| author_facet | Zhang, Xinguang Liu, L. |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray–Schauder nonlinear alternative. |
| first_indexed | 2025-11-14T09:20:46Z |
| format | Journal Article |
| id | curtin-20.500.11937-44357 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:20:46Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-443572017-09-13T15:58:10Z Nontrivial solutions for higher order multi-point boundary value problems Zhang, Xinguang Liu, L. Nontrivial solutions Fixed point Multi-point boundary value problems Leray–Schauder nonlinear alternative In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray–Schauder nonlinear alternative. 2008 Journal Article http://hdl.handle.net/20.500.11937/44357 10.1016/j.camwa.2007.04.052 Elsevier unknown |
| spellingShingle | Nontrivial solutions Fixed point Multi-point boundary value problems Leray–Schauder nonlinear alternative Zhang, Xinguang Liu, L. Nontrivial solutions for higher order multi-point boundary value problems |
| title | Nontrivial solutions for higher order multi-point boundary value problems |
| title_full | Nontrivial solutions for higher order multi-point boundary value problems |
| title_fullStr | Nontrivial solutions for higher order multi-point boundary value problems |
| title_full_unstemmed | Nontrivial solutions for higher order multi-point boundary value problems |
| title_short | Nontrivial solutions for higher order multi-point boundary value problems |
| title_sort | nontrivial solutions for higher order multi-point boundary value problems |
| topic | Nontrivial solutions Fixed point Multi-point boundary value problems Leray–Schauder nonlinear alternative |
| url | http://hdl.handle.net/20.500.11937/44357 |