Existence of solutions for fourth-order nonlinear boundary value problems
Abstract In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution α and an upper solution β in the reverse order α ≥ β $\alpha \geq \beta $ , we show the exi...
| Published in: | Advances in Difference Equations |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-04-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03354-4 |
| _version_ | 1852763114936729600 |
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| author | Mingzhu Huang |
| author_facet | Mingzhu Huang |
| author_sort | Mingzhu Huang |
| collection | DOAJ |
| container_title | Advances in Difference Equations |
| description | Abstract In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution α and an upper solution β in the reverse order α ≥ β $\alpha \geq \beta $ , we show the existence of (extreme) solution. |
| format | Article |
| id | doaj-art-34ebc1b2fef34f74aa4d7bdcbde47bf2 |
| institution | Directory of Open Access Journals |
| issn | 1687-1847 |
| language | English |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| spelling | doaj-art-34ebc1b2fef34f74aa4d7bdcbde47bf22025-08-19T20:55:07ZengSpringerOpenAdvances in Difference Equations1687-18472021-04-012021111010.1186/s13662-021-03354-4Existence of solutions for fourth-order nonlinear boundary value problemsMingzhu Huang0Department of Mathematics, Hunan University of Science and TechnologyAbstract In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution α and an upper solution β in the reverse order α ≥ β $\alpha \geq \beta $ , we show the existence of (extreme) solution.https://doi.org/10.1186/s13662-021-03354-4Boundary value problemQuasilinearization methodUpper solution and lower solutionExtreme solution |
| spellingShingle | Mingzhu Huang Existence of solutions for fourth-order nonlinear boundary value problems Boundary value problem Quasilinearization method Upper solution and lower solution Extreme solution |
| title | Existence of solutions for fourth-order nonlinear boundary value problems |
| title_full | Existence of solutions for fourth-order nonlinear boundary value problems |
| title_fullStr | Existence of solutions for fourth-order nonlinear boundary value problems |
| title_full_unstemmed | Existence of solutions for fourth-order nonlinear boundary value problems |
| title_short | Existence of solutions for fourth-order nonlinear boundary value problems |
| title_sort | existence of solutions for fourth order nonlinear boundary value problems |
| topic | Boundary value problem Quasilinearization method Upper solution and lower solution Extreme solution |
| url | https://doi.org/10.1186/s13662-021-03354-4 |
| work_keys_str_mv | AT mingzhuhuang existenceofsolutionsforfourthordernonlinearboundaryvalueproblems |