Existence of positive solutions of boundary value problem with integral boundary condition at resonance
In view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral boundary condition at resonance is studied. An e...
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| Format: | Article |
| Language: | zho |
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Hebei University of Science and Technology
2015-08-01
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| Series: | Journal of Hebei University of Science and Technology |
| Subjects: | |
| Online Access: | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201504006&flag=1&journal_ |
| _version_ | 1811191758479949824 |
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| author | Weihua JIANG Caixia YANG |
| author_facet | Weihua JIANG Caixia YANG |
| author_sort | Weihua JIANG |
| collection | DOAJ |
| description | In view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral boundary condition at resonance is studied. An example is given to illustrate the main results. |
| first_indexed | 2024-04-11T23:41:40Z |
| format | Article |
| id | doaj.art-e95a2e449fb24ecf85f29971ca25a371 |
| institution | Directory Open Access Journal |
| issn | 1008-1542 |
| language | zho |
| last_indexed | 2024-04-11T23:41:40Z |
| publishDate | 2015-08-01 |
| publisher | Hebei University of Science and Technology |
| record_format | Article |
| series | Journal of Hebei University of Science and Technology |
| spelling | doaj.art-e95a2e449fb24ecf85f29971ca25a3712022-12-22T03:56:46ZzhoHebei University of Science and TechnologyJournal of Hebei University of Science and Technology1008-15422015-08-0136437638110.7535/hbkd.2015yx04007b201504006Existence of positive solutions of boundary value problem with integral boundary condition at resonanceWeihua JIANG0Caixia YANG1School of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaSchool of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaIn view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral boundary condition at resonance is studied. An example is given to illustrate the main results.http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201504006&flag=1&journal_numerical solution of ordinary differential equationsboundary value problemresonancepositive solutionconeFredholm operator |
| spellingShingle | Weihua JIANG Caixia YANG Existence of positive solutions of boundary value problem with integral boundary condition at resonance Journal of Hebei University of Science and Technology numerical solution of ordinary differential equations boundary value problem resonance positive solution cone Fredholm operator |
| title | Existence of positive solutions of boundary value problem with integral boundary condition at resonance |
| title_full | Existence of positive solutions of boundary value problem with integral boundary condition at resonance |
| title_fullStr | Existence of positive solutions of boundary value problem with integral boundary condition at resonance |
| title_full_unstemmed | Existence of positive solutions of boundary value problem with integral boundary condition at resonance |
| title_short | Existence of positive solutions of boundary value problem with integral boundary condition at resonance |
| title_sort | existence of positive solutions of boundary value problem with integral boundary condition at resonance |
| topic | numerical solution of ordinary differential equations boundary value problem resonance positive solution cone Fredholm operator |
| url | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201504006&flag=1&journal_ |
| work_keys_str_mv | AT weihuajiang existenceofpositivesolutionsofboundaryvalueproblemwithintegralboundaryconditionatresonance AT caixiayang existenceofpositivesolutionsofboundaryvalueproblemwithintegralboundaryconditionatresonance |