Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products
In this paper, we study variation-inequality initial-boundary value problems with fouth order p(x)-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained. Secondly, the stability and uniqueness of the solution are anal...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023343?viewType=HTML |
| _version_ | 1828052122985299968 |
|---|---|
| author | Tao Wu |
| author_facet | Tao Wu |
| author_sort | Tao Wu |
| collection | DOAJ |
| description | In this paper, we study variation-inequality initial-boundary value problems with fouth order p(x)-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained. Secondly, the stability and uniqueness of the solution are analyzed after the conditions are appropriately relaxed on the Kirchhoff operators. |
| first_indexed | 2024-04-10T19:47:43Z |
| format | Article |
| id | doaj.art-bfc1fa0be14f4c25b16831ac4f033287 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T19:47:43Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-bfc1fa0be14f4c25b16831ac4f0332872023-01-29T02:32:05ZengAIMS PressAIMS Mathematics2473-69882023-01-01836749676210.3934/math.2023343Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural productsTao Wu01. Guizhou Institute for Rural Vitalization, Guizhou Education University, Guiyang 550018, China 2. Guizhou Institute of Minority Education, Guizhou Education University, Guiyang 550018, ChinaIn this paper, we study variation-inequality initial-boundary value problems with fouth order p(x)-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained. Secondly, the stability and uniqueness of the solution are analyzed after the conditions are appropriately relaxed on the Kirchhoff operators.https://www.aimspress.com/article/doi/10.3934/math.2023343?viewType=HTMLparabolic variation-inequality problemsweak solutionfouth order p(x)-kirchhoff operatorexistenceuniquenessstability |
| spellingShingle | Tao Wu Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products AIMS Mathematics parabolic variation-inequality problems weak solution fouth order p(x)-kirchhoff operator existence uniqueness stability |
| title | Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products |
| title_full | Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products |
| title_fullStr | Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products |
| title_full_unstemmed | Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products |
| title_short | Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products |
| title_sort | some results for a variation inequality problem with fourth order p x kirchhoff operator arising from options on fresh agricultural products |
| topic | parabolic variation-inequality problems weak solution fouth order p(x)-kirchhoff operator existence uniqueness stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023343?viewType=HTML |
| work_keys_str_mv | AT taowu someresultsforavariationinequalityproblemwithfourthorderpxkirchhoffoperatorarisingfromoptionsonfreshagriculturalproducts |