Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight
In this paper, we consider the existence of an reversed S -shaped connected component in the set of positive solutions for second order periodic boundary value problem with a sign-changing weight function. By bifurcation technique, we identify the interval of bifurcation parameter in which the perio...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020376/fulltext.html |
| _version_ | 1818033014759751680 |
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| author | Liangying Miao Zhiqian He |
| author_facet | Liangying Miao Zhiqian He |
| author_sort | Liangying Miao |
| collection | DOAJ |
| description | In this paper, we consider the existence of an reversed S -shaped connected component in the set of positive solutions for second order periodic boundary value problem with a sign-changing weight function. By bifurcation technique, we identify the interval of bifurcation parameter in which the periodic boundary value problem has one or two or three positive solutions according to the asymptotic behavior of f at 0 and ∞. |
| first_indexed | 2024-12-10T06:16:32Z |
| format | Article |
| id | doaj.art-d830b7a609054c09b7035db6491235ce |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T06:16:32Z |
| publishDate | 2020-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-d830b7a609054c09b7035db6491235ce2022-12-22T01:59:26ZengAIMS PressAIMS Mathematics2473-69882020-07-01565884589210.3934/math.2020376Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weightLiangying Miao0Zhiqian He11 School of Mathematics and Statistics, Qinghai Nationalities University, Xining 810007, P. R. China2 Department of Basic Teaching and Research, Qinghai University, Xining 810016, P. R. ChinaIn this paper, we consider the existence of an reversed S -shaped connected component in the set of positive solutions for second order periodic boundary value problem with a sign-changing weight function. By bifurcation technique, we identify the interval of bifurcation parameter in which the periodic boundary value problem has one or two or three positive solutions according to the asymptotic behavior of f at 0 and ∞.https://www.aimspress.com/article/10.3934/math.2020376/fulltext.htmlpositive solutionperiodic boundary value problembifurcation |
| spellingShingle | Liangying Miao Zhiqian He Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight AIMS Mathematics positive solution periodic boundary value problem bifurcation |
| title | Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight |
| title_full | Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight |
| title_fullStr | Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight |
| title_full_unstemmed | Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight |
| title_short | Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight |
| title_sort | reversed s shaped connected component for second order periodic boundary value problem with sign changing weight |
| topic | positive solution periodic boundary value problem bifurcation |
| url | https://www.aimspress.com/article/10.3934/math.2020376/fulltext.html |
| work_keys_str_mv | AT liangyingmiao reversedsshapedconnectedcomponentforsecondorderperiodicboundaryvalueproblemwithsignchangingweight AT zhiqianhe reversedsshapedconnectedcomponentforsecondorderperiodicboundaryvalueproblemwithsignchangingweight |