Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性)
运用锥上的不动点指数理论，讨论了格林函数变号时的二阶离散周期边值问题当λb(t)≡1时，该问题存在正解；当b：[1，n]Z→R+时，该问题不存在正解，其中f∈C(R+，R+)，k为满足的常数，λ为参数，，R+：=[0，∞)。
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2022-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2022.06.004 |
| _version_ | 1797235715109552128 |
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| author | HUWenfeng(胡文丰) WANGJingjing(王晶晶) |
| author_facet | HUWenfeng(胡文丰) WANGJingjing(王晶晶) |
| author_sort | HUWenfeng(胡文丰) |
| collection | DOAJ |
| description | 运用锥上的不动点指数理论，讨论了格林函数变号时的二阶离散周期边值问题当λb(t)≡1时，该问题存在正解；当b：[1，n]Z→R+时，该问题不存在正解，其中f∈C(R+，R+)，k为满足的常数，λ为参数，，R+：=[0，∞)。 |
| first_indexed | 2024-04-24T16:52:22Z |
| format | Article |
| id | doaj.art-acf302eed3b34ff1b68c57471197b008 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:52:22Z |
| publishDate | 2022-11-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-acf302eed3b34ff1b68c57471197b0082024-03-29T01:58:40ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972022-11-0149667067510.3785/j.issn.1008-9497.2022.06.004Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性)HUWenfeng(胡文丰)0https://orcid.org/0000-0003-3518-4172WANGJingjing(王晶晶)1https://orcid.org/0000-0003-0507-7368 1.Department of Public Course Teaching, Ningbo Polytechnic, Ningbo 315800, Zhejiang Province, China( 1.宁波职业技术学院 公共教学部，浙江 宁波 315800) 2.College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China( 2.西北师范大学 数学与统计学院，甘肃 兰州 730070)运用锥上的不动点指数理论，讨论了格林函数变号时的二阶离散周期边值问题当λb(t)≡1时，该问题存在正解；当b：[1，n]Z→R+时，该问题不存在正解，其中f∈C(R+，R+)，k为满足的常数，λ为参数，，R+：=[0，∞)。https://doi.org/10.3785/j.issn.1008-9497.2022.06.004周期边值问题正解变号格林函数不动点指数 |
| spellingShingle | HUWenfeng(胡文丰) WANGJingjing(王晶晶) Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性) Zhejiang Daxue xuebao. Lixue ban 周期边值问题 正解 变号格林函数 不动点指数 |
| title | Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性) |
| title_full | Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性) |
| title_fullStr | Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性) |
| title_full_unstemmed | Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性) |
| title_short | Existence of positive solutions for second order discrete periodic boundary value problems with sign-changing Green′s function(格林函数变号时二阶离散周期边值问题正解的存在性) |
| title_sort | existence of positive solutions for second order discrete periodic boundary value problems with sign changing green s function 格林函数变号时二阶离散周期边值问题正解的存在性 |
| topic | 周期边值问题 正解 变号格林函数 不动点指数 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2022.06.004 |
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