Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals
This paper investigates an m-point boundary value problem with nonlinear boundary conditions at resonance on infinite intervals. By establishing a general continuation theorem, the existence and uniqueness of unbounded solutions is obtained on the basis of a suitable homotopy, Leray-Schauder degree...
| Main Authors: | , , |
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| Format: | Journal Article |
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Pergamon Press
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/52745 |
| _version_ | 1848759001046581248 |
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| author | Liu, B. Li, J. Liu, Lishan |
| author_facet | Liu, B. Li, J. Liu, Lishan |
| author_sort | Liu, B. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates an m-point boundary value problem with nonlinear boundary conditions at resonance on infinite intervals. By establishing a general continuation theorem, the existence and uniqueness of unbounded solutions is obtained on the basis of a suitable homotopy, Leray-Schauder degree properties and a priori estimate. This paper provides a new method to solve boundary value problems with nonlinear boundary conditions at resonance on infinite intervals. © 2012 Elsevier Ltd. All rights reserved. |
| first_indexed | 2025-11-14T09:52:56Z |
| format | Journal Article |
| id | curtin-20.500.11937-52745 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:52:56Z |
| publishDate | 2012 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-527452017-09-13T15:39:43Z Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals Liu, B. Li, J. Liu, Lishan This paper investigates an m-point boundary value problem with nonlinear boundary conditions at resonance on infinite intervals. By establishing a general continuation theorem, the existence and uniqueness of unbounded solutions is obtained on the basis of a suitable homotopy, Leray-Schauder degree properties and a priori estimate. This paper provides a new method to solve boundary value problems with nonlinear boundary conditions at resonance on infinite intervals. © 2012 Elsevier Ltd. All rights reserved. 2012 Journal Article http://hdl.handle.net/20.500.11937/52745 10.1016/j.camwa.2012.01.023 Pergamon Press unknown |
| spellingShingle | Liu, B. Li, J. Liu, Lishan Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| title | Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| title_full | Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| title_fullStr | Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| title_full_unstemmed | Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| title_short | Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| title_sort | existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals |
| url | http://hdl.handle.net/20.500.11937/52745 |