The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems
In this paper, the upper and lower solution method is proposed in order to solve the second order interval boundary value problem. We study first a class of linear interval boundary value problems and then investigate a class of nonlinear interval boundary value problems by the upper and lower solut...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/4/269 |
| _version_ | 1797506591429230592 |
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| author | Yanzong Yan Zhiyong Xiao Zengtai Gong |
| author_facet | Yanzong Yan Zhiyong Xiao Zengtai Gong |
| author_sort | Yanzong Yan |
| collection | DOAJ |
| description | In this paper, the upper and lower solution method is proposed in order to solve the second order interval boundary value problem. We study first a class of linear interval boundary value problems and then investigate a class of nonlinear interval boundary value problems by the upper and lower solution method under the gH-derivative, and we prove that there exist at least two solutions. |
| first_indexed | 2024-03-10T04:35:43Z |
| format | Article |
| id | doaj.art-6a6b2d0d87514278a1cdbfe0b015b9f2 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T04:35:43Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-6a6b2d0d87514278a1cdbfe0b015b9f22023-11-23T03:49:17ZengMDPI AGAxioms2075-16802021-10-0110426910.3390/axioms10040269The Upper and Lower Solution Method for a Class of Interval Boundary Value ProblemsYanzong Yan0Zhiyong Xiao1Zengtai Gong2School of Mathematics and Statistics, Longdong University, Qingyang 745000, ChinaSchool of Mathematics and Statistics, Longdong University, Qingyang 745000, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaIn this paper, the upper and lower solution method is proposed in order to solve the second order interval boundary value problem. We study first a class of linear interval boundary value problems and then investigate a class of nonlinear interval boundary value problems by the upper and lower solution method under the gH-derivative, and we prove that there exist at least two solutions.https://www.mdpi.com/2075-1680/10/4/269Interval-valued functionspartial ordersinterval boundary value problemsupper solution and lower solution methodgH-derivative |
| spellingShingle | Yanzong Yan Zhiyong Xiao Zengtai Gong The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems Axioms Interval-valued functions partial orders interval boundary value problems upper solution and lower solution method gH-derivative |
| title | The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems |
| title_full | The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems |
| title_fullStr | The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems |
| title_full_unstemmed | The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems |
| title_short | The Upper and Lower Solution Method for a Class of Interval Boundary Value Problems |
| title_sort | upper and lower solution method for a class of interval boundary value problems |
| topic | Interval-valued functions partial orders interval boundary value problems upper solution and lower solution method gH-derivative |
| url | https://www.mdpi.com/2075-1680/10/4/269 |
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