The iterative properties of solutions for a singular k-Hessian system
In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties. Unlike the existing work, instead of directly dealing with the system, we use a coupled technique to transfer the Hessian syst...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-12-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/33824 |
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| _version_ | 1850248991702253568 |
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| author | Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee |
| author_facet | Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee |
| author_sort | Xinguang Zhang |
| collection | DOAJ |
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In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties. Unlike the existing work, instead of directly dealing with the system, we use a coupled technique to transfer the Hessian system to an integral equation, and then by introducing an iterative technique, the iterative properties of solution are derived including the uniqueness of solution, iterative sequence, the error estimation and the convergence rate as well as entire asymptotic behaviour.
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| format | Article |
| id | doaj-art-8eafde91e74a4a04b5ea4193ed8cb1c8 |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-8eafde91e74a4a04b5ea4193ed8cb1c82025-08-20T01:58:34ZengVilnius University PressNonlinear Analysis1392-51132335-89632023-12-0129110.15388/namc.2024.24.33824The iterative properties of solutions for a singular k-Hessian systemXinguang Zhang0https://orcid.org/0000-0001-9250-6823Peng Chen1Yonghong Wu2Benchawan Wiwatanapataphee3https://orcid.org/0000-0003-1875-6984Yantai UniversityYantai UniversityCurtin University of TechnologyCurtin University of Technology In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties. Unlike the existing work, instead of directly dealing with the system, we use a coupled technique to transfer the Hessian system to an integral equation, and then by introducing an iterative technique, the iterative properties of solution are derived including the uniqueness of solution, iterative sequence, the error estimation and the convergence rate as well as entire asymptotic behaviour. https://www.journals.vu.lt/nonlinear-analysis/article/view/33824Hessian equationuniquenessiterative propertiessingularity |
| spellingShingle | Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee The iterative properties of solutions for a singular k-Hessian system Nonlinear Analysis Hessian equation uniqueness iterative properties singularity |
| title | The iterative properties of solutions for a singular k-Hessian system |
| title_full | The iterative properties of solutions for a singular k-Hessian system |
| title_fullStr | The iterative properties of solutions for a singular k-Hessian system |
| title_full_unstemmed | The iterative properties of solutions for a singular k-Hessian system |
| title_short | The iterative properties of solutions for a singular k-Hessian system |
| title_sort | iterative properties of solutions for a singular k hessian system |
| topic | Hessian equation uniqueness iterative properties singularity |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/33824 |
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