Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps
Abstract We consider the approximate controllability for a class of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps in a real separable Hilbert space. Under the sufficient conditions, we obtain approximate controllability results by virtu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-02959-5 |
| _version_ | 1797849832426045440 |
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| author | Hao Huang Zheng Wu Xiaofeng Su |
| author_facet | Hao Huang Zheng Wu Xiaofeng Su |
| author_sort | Hao Huang |
| collection | DOAJ |
| description | Abstract We consider the approximate controllability for a class of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps in a real separable Hilbert space. Under the sufficient conditions, we obtain approximate controllability results by virtue of the theory of a strongly continuous cosine family of bounded linear operators combined with stochastic inequality technique and the Sadovskii fixed point theorem. Finally, we illustrate the main results by an example. |
| first_indexed | 2024-04-09T18:50:33Z |
| format | Article |
| id | doaj.art-5edb648b053b4462a6f232e0e01eea95 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-09T18:50:33Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5edb648b053b4462a6f232e0e01eea952023-04-09T11:29:40ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-04-012023112610.1186/s13660-023-02959-5Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumpsHao Huang0Zheng Wu1Xiaofeng Su2School of Mathematics and Statistics, Hefei Normal UniversitySchool of Mathematical Sciences, Anhui UniversitySchool of Mathematics and Statistics, Hefei Normal UniversityAbstract We consider the approximate controllability for a class of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps in a real separable Hilbert space. Under the sufficient conditions, we obtain approximate controllability results by virtue of the theory of a strongly continuous cosine family of bounded linear operators combined with stochastic inequality technique and the Sadovskii fixed point theorem. Finally, we illustrate the main results by an example.https://doi.org/10.1186/s13660-023-02959-5Approximate controllabilityStrongly continuous cosine familySecond orderImpulsive neutral stochastic differential equationsState-dependent delayPoisson jumps |
| spellingShingle | Hao Huang Zheng Wu Xiaofeng Su Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps Journal of Inequalities and Applications Approximate controllability Strongly continuous cosine family Second order Impulsive neutral stochastic differential equations State-dependent delay Poisson jumps |
| title | Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps |
| title_full | Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps |
| title_fullStr | Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps |
| title_full_unstemmed | Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps |
| title_short | Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps |
| title_sort | approximate controllability of second order impulsive neutral stochastic differential equations with state dependent delay and poisson jumps |
| topic | Approximate controllability Strongly continuous cosine family Second order Impulsive neutral stochastic differential equations State-dependent delay Poisson jumps |
| url | https://doi.org/10.1186/s13660-023-02959-5 |
| work_keys_str_mv | AT haohuang approximatecontrollabilityofsecondorderimpulsiveneutralstochasticdifferentialequationswithstatedependentdelayandpoissonjumps AT zhengwu approximatecontrollabilityofsecondorderimpulsiveneutralstochasticdifferentialequationswithstatedependentdelayandpoissonjumps AT xiaofengsu approximatecontrollabilityofsecondorderimpulsiveneutralstochasticdifferentialequationswithstatedependentdelayandpoissonjumps |