Perturbed uncertain differential equations and perturbed reflected canonical process
In this paper, we consider a class of perturbed uncertain differential equations, which is a type of differential equations driven by canonical process. By the reflection principle and a successive approximation method, we obtain the existence and uniqueness of the solution to the considered equatio...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-06-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021562?viewType=HTML |
| id |
doaj-c0281c8ad85f4ad99014f1d89d50b154 |
|---|---|
| record_format |
Article |
| spelling |
doaj-c0281c8ad85f4ad99014f1d89d50b1542021-07-08T02:25:04ZengAIMS PressAIMS Mathematics2473-69882021-06-01699647965910.3934/math.2021562Perturbed uncertain differential equations and perturbed reflected canonical processYuanbin Ma0Zhi Li 1School of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaIn this paper, we consider a class of perturbed uncertain differential equations, which is a type of differential equations driven by canonical process. By the reflection principle and a successive approximation method, we obtain the existence and uniqueness of the solution to the considered equations. As an application, we establish the existence and uniqueness of some perturbed reflected canonical process.https://www.aimspress.com/article/doi/10.3934/math.2021562?viewType=HTMLperturbed uncertain differential equationscanonical processreflected diffusionsexistence and uniqueness |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuanbin Ma Zhi Li |
| spellingShingle |
Yuanbin Ma Zhi Li Perturbed uncertain differential equations and perturbed reflected canonical process AIMS Mathematics perturbed uncertain differential equations canonical process reflected diffusions existence and uniqueness |
| author_facet |
Yuanbin Ma Zhi Li |
| author_sort |
Yuanbin Ma |
| title |
Perturbed uncertain differential equations and perturbed reflected canonical process |
| title_short |
Perturbed uncertain differential equations and perturbed reflected canonical process |
| title_full |
Perturbed uncertain differential equations and perturbed reflected canonical process |
| title_fullStr |
Perturbed uncertain differential equations and perturbed reflected canonical process |
| title_full_unstemmed |
Perturbed uncertain differential equations and perturbed reflected canonical process |
| title_sort |
perturbed uncertain differential equations and perturbed reflected canonical process |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-06-01 |
| description |
In this paper, we consider a class of perturbed uncertain differential equations, which is a type of differential equations driven by canonical process. By the reflection principle and a successive approximation method, we obtain the existence and uniqueness of the solution to the considered equations. As an application, we establish the existence and uniqueness of some perturbed reflected canonical process. |
| topic |
perturbed uncertain differential equations canonical process reflected diffusions existence and uniqueness |
| url |
https://www.aimspress.com/article/doi/10.3934/math.2021562?viewType=HTML |
| work_keys_str_mv |
AT yuanbinma perturbeduncertaindifferentialequationsandperturbedreflectedcanonicalprocess AT zhili perturbeduncertaindifferentialequationsandperturbedreflectedcanonicalprocess |
| _version_ |
1721314586561347584 |