Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay
Abstract In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlier results in the relevant literature, which are related to the qualitative propert...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-04-01
|
| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-024-01849-z |
| _version_ | 1797219700274364416 |
|---|---|
| author | A. M. Mahmoud D. A. Eisa R. O. A. Taie D. A. M. Bakhit |
| author_facet | A. M. Mahmoud D. A. Eisa R. O. A. Taie D. A. M. Bakhit |
| author_sort | A. M. Mahmoud |
| collection | DOAJ |
| description | Abstract In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlier results in the relevant literature, which are related to the qualitative properties of solutions to third-order delay differential equations (DDEs) and SDEs with multi-delay. Two examples are given to illustrate the results. |
| first_indexed | 2024-04-24T12:37:49Z |
| format | Article |
| id | doaj.art-e9e1754f7d634e46a52c9776642450ac |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-24T12:37:49Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-e9e1754f7d634e46a52c9776642450ac2024-04-07T11:25:34ZengSpringerOpenBoundary Value Problems1687-27702024-04-012024112710.1186/s13661-024-01849-zAsymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delayA. M. Mahmoud0D. A. Eisa1R. O. A. Taie2D. A. M. Bakhit3Department of Mathematics, Faculty of Science, New Valley UniversityDepartment of Mathematics, Faculty of Science, New Valley UniversityDepartment of Mathematics, Faculty of Science, Assiut UniversityDepartment of Mathematics, Faculty of Science, New Valley UniversityAbstract In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlier results in the relevant literature, which are related to the qualitative properties of solutions to third-order delay differential equations (DDEs) and SDEs with multi-delay. Two examples are given to illustrate the results.https://doi.org/10.1186/s13661-024-01849-zDelay differential equations (DDEs)Stochastic delay differential equations (SDDEs)Multi-delayStochastic stabilityStochastic boundedness |
| spellingShingle | A. M. Mahmoud D. A. Eisa R. O. A. Taie D. A. M. Bakhit Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay Boundary Value Problems Delay differential equations (DDEs) Stochastic delay differential equations (SDDEs) Multi-delay Stochastic stability Stochastic boundedness |
| title | Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay |
| title_full | Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay |
| title_fullStr | Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay |
| title_full_unstemmed | Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay |
| title_short | Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay |
| title_sort | asymptotic behaviour and boundedness of solutions for third order stochastic differential equation with multi delay |
| topic | Delay differential equations (DDEs) Stochastic delay differential equations (SDDEs) Multi-delay Stochastic stability Stochastic boundedness |
| url | https://doi.org/10.1186/s13661-024-01849-z |
| work_keys_str_mv | AT ammahmoud asymptoticbehaviourandboundednessofsolutionsforthirdorderstochasticdifferentialequationwithmultidelay AT daeisa asymptoticbehaviourandboundednessofsolutionsforthirdorderstochasticdifferentialequationwithmultidelay AT roataie asymptoticbehaviourandboundednessofsolutionsforthirdorderstochasticdifferentialequationwithmultidelay AT dambakhit asymptoticbehaviourandboundednessofsolutionsforthirdorderstochasticdifferentialequationwithmultidelay |