S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems
By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem. By figuring the shape of unbounded connected component of positive solutions, we show that the Neumann boundary value...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2020-0098 |
| _version_ | 1818581023684820992 |
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| author | Miao Liangying Liu Jing He Zhiqian |
| author_facet | Miao Liangying Liu Jing He Zhiqian |
| author_sort | Miao Liangying |
| collection | DOAJ |
| description | By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem. By figuring the shape of unbounded connected component of positive solutions, we show that the Neumann boundary value problem has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. |
| first_indexed | 2024-12-16T07:26:54Z |
| format | Article |
| id | doaj.art-78ae638a4863425e8abbb192c690d9ac |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-16T07:26:54Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-78ae638a4863425e8abbb192c690d9ac2022-12-21T22:39:28ZengDe GruyterOpen Mathematics2391-54552020-12-011811658166610.1515/math-2020-0098math-2020-0098S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problemsMiao Liangying0Liu Jing1He Zhiqian2School of Mathematics and Statistics, Qinghai Nationalities University, Xining, 810007, P. R. ChinaThe College of Ecological Environment and Resources, Qinghai Nationalities University, Xining, 810007, P. R. ChinaDepartment of Basic Teaching and Research, Qinghai University, Xining, 810016, P. R. ChinaBy using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem. By figuring the shape of unbounded connected component of positive solutions, we show that the Neumann boundary value problem has three positive solutions suggesting suitable conditions on the weight function and nonlinearity.https://doi.org/10.1515/math-2020-0098three positive solutionsdiscreteneumann boundary value problembifurcation39a2839a2139a12 |
| spellingShingle | Miao Liangying Liu Jing He Zhiqian S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems Open Mathematics three positive solutions discrete neumann boundary value problem bifurcation 39a28 39a21 39a12 |
| title | S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems |
| title_full | S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems |
| title_fullStr | S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems |
| title_full_unstemmed | S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems |
| title_short | S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems |
| title_sort | s shaped connected component of positive solutions for second order discrete neumann boundary value problems |
| topic | three positive solutions discrete neumann boundary value problem bifurcation 39a28 39a21 39a12 |
| url | https://doi.org/10.1515/math-2020-0098 |
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