Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem
In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii’s fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-07-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutm-2016-0005 |
| _version_ | 1811289659833057280 |
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| author | Benaicha Slimane Haddouchi Faouzi |
| author_facet | Benaicha Slimane Haddouchi Faouzi |
| author_sort | Benaicha Slimane |
| collection | DOAJ |
| description | In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii’s fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained. |
| first_indexed | 2024-04-13T03:58:24Z |
| format | Article |
| id | doaj.art-12ac6b8b497849789b88783ea1bcfd81 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-04-13T03:58:24Z |
| publishDate | 2016-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-12ac6b8b497849789b88783ea1bcfd812022-12-22T03:03:32ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072016-07-01541738610.1515/awutm-2016-0005awutm-2016-0005Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value ProblemBenaicha Slimane0Haddouchi Faouzi1Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), Department of Mathematics, University of Oran 1 Ahmed Benbella, 31000 Oran, AlgeriaDepartment of Physics, University of Sciences and Technology of Oran-MB, El Mnaouar, BP 1505, 31000 Oran, Algeria; Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), Department of Mathematics, University of Oran 1 Ahmed Benbella, 31000 Oran, AlgeriaIn this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii’s fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained.https://doi.org/10.1515/awutm-2016-0005positive solutionskrasnoselskii’s fixed point theoremfourth-order integral boundary value problemsexistencecone |
| spellingShingle | Benaicha Slimane Haddouchi Faouzi Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem Annals of the West University of Timisoara: Mathematics and Computer Science positive solutions krasnoselskii’s fixed point theorem fourth-order integral boundary value problems existence cone |
| title | Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem |
| title_full | Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem |
| title_fullStr | Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem |
| title_full_unstemmed | Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem |
| title_short | Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem |
| title_sort | positive solutions of a nonlinear fourth order integral boundary value problem |
| topic | positive solutions krasnoselskii’s fixed point theorem fourth-order integral boundary value problems existence cone |
| url | https://doi.org/10.1515/awutm-2016-0005 |
| work_keys_str_mv | AT benaichaslimane positivesolutionsofanonlinearfourthorderintegralboundaryvalueproblem AT haddouchifaouzi positivesolutionsofanonlinearfourthorderintegralboundaryvalueproblem |