Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性)
应用Dancer全局分歧理论,研究奇异边值问题正解的存在性和多解性,其中f:[0,1]×[0,∞)→[0,∞)连续.给出了关于此类问题正解存在的充分条件,该充分条件与相应线性问题的第1个特征值有关,且所涉及的值是最优的.
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2017-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2017.03.006 |
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author | YANDongming(闫东明) |
author_facet | YANDongming(闫东明) |
author_sort | YANDongming(闫东明) |
collection | DOAJ |
description | 应用Dancer全局分歧理论,研究奇异边值问题正解的存在性和多解性,其中f:[0,1]×[0,∞)→[0,∞)连续.给出了关于此类问题正解存在的充分条件,该充分条件与相应线性问题的第1个特征值有关,且所涉及的值是最优的. |
first_indexed | 2024-04-24T16:54:39Z |
format | Article |
id | doaj.art-f1c7e12eb6fb4662ac99a1100cd703ee |
institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T16:54:39Z |
publishDate | 2017-05-01 |
publisher | Zhejiang University Press |
record_format | Article |
series | Zhejiang Daxue xuebao. Lixue ban |
spelling | doaj.art-f1c7e12eb6fb4662ac99a1100cd703ee2024-03-29T01:58:37ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972017-05-0144328128610.3785/j.issn.1008-9497.2017.03.006Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性)YANDongming(闫东明)0https://orcid.org/0000-0002-2893-4871School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, China(浙江财经大学数据科学学院,浙江 杭州 310018)应用Dancer全局分歧理论,研究奇异边值问题正解的存在性和多解性,其中f:[0,1]×[0,∞)→[0,∞)连续.给出了关于此类问题正解存在的充分条件,该充分条件与相应线性问题的第1个特征值有关,且所涉及的值是最优的.https://doi.org/10.3785/j.issn.1008-9497.2017.03.006奇异边值问题全局分歧正解多解性第1特征值 |
spellingShingle | YANDongming(闫东明) Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性) Zhejiang Daxue xuebao. Lixue ban 奇异边值问题 全局分歧 正解 多解性 第1特征值 |
title | Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性) |
title_full | Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性) |
title_fullStr | Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性) |
title_full_unstemmed | Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性) |
title_short | Existence of single and multiple positive solutions of singular boundary value problem(一类奇异边值问题正解的存在性及多解性) |
title_sort | existence of single and multiple positive solutions of singular boundary value problem 一类奇异边值问题正解的存在性及多解性 |
topic | 奇异边值问题 全局分歧 正解 多解性 第1特征值 |
url | https://doi.org/10.3785/j.issn.1008-9497.2017.03.006 |
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