Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性)
考察了非线性四阶三点边值问题的正解.通过构造适当的锥并且利用相应的积分方程证明了n个正解的存在性.主要工具是锥上的Krasnosel'skii不动点定理.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2008-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2008.04.005 |
| _version_ | 1827303287155589120 |
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| author | YAOQing-liu(姚庆六) |
| author_facet | YAOQing-liu(姚庆六) |
| author_sort | YAOQing-liu(姚庆六) |
| collection | DOAJ |
| description | 考察了非线性四阶三点边值问题的正解.通过构造适当的锥并且利用相应的积分方程证明了n个正解的存在性.主要工具是锥上的Krasnosel'skii不动点定理. |
| first_indexed | 2024-04-24T16:59:16Z |
| format | Article |
| id | doaj.art-732962d3ca334746bc2c798242f16cdd |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:59:16Z |
| publishDate | 2008-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-732962d3ca334746bc2c798242f16cdd2024-03-29T01:58:26ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972008-07-0135437738010.3785/j.issn.1008-9497.2008.04.005Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性)YAOQing-liu(姚庆六)0Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China(南京财经大学应用数学系，江苏 南京 210003)考察了非线性四阶三点边值问题的正解.通过构造适当的锥并且利用相应的积分方程证明了n个正解的存在性.主要工具是锥上的Krasnosel'skii不动点定理.https://doi.org/10.3785/j.issn.1008-9497.2008.04.005四阶常微分方程三点边值问题正解存在性多解性 |
| spellingShingle | YAOQing-liu(姚庆六) Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性) Zhejiang Daxue xuebao. Lixue ban 四阶常微分方程 三点边值问题 正解 存在性 多解性 |
| title | Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性) |
| title_full | Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性) |
| title_fullStr | Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性) |
| title_full_unstemmed | Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性) |
| title_short | Existence and multiplicity of positive solutions to nonlinear fourth-order three-point boundary value problems(非线性四阶三点边值问题的正解存在性与多解性) |
| title_sort | existence and multiplicity of positive solutions to nonlinear fourth order three point boundary value problems 非线性四阶三点边值问题的正解存在性与多解性 |
| topic | 四阶常微分方程 三点边值问题 正解 存在性 多解性 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2008.04.005 |
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