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.

Bibliographic Details
Main Author: YANDongming(闫东明)
Format: Article
Language:zho
Published: Zhejiang University Press 2017-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
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.
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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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