Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
By using the linear operator theory, we deal with the difficulty brought by delay term of the neutral system and obtain the conclusion that the solutions of neutral stochastic delay differential equations with impulses converge to the solutions of the corresponding averaged stochastic delay differential equations without impulses in the sense of mean square and in probability.
At last, an example is presented to show the validity of the proposed theories.
American Psychological Association (APA)
Wang, Pei-Guang& Xu, Yan. 2020. Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses. Complexity،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1143325
Modern Language Association (MLA)
Wang, Pei-Guang& Xu, Yan. Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses. Complexity No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1143325
American Medical Association (AMA)
Wang, Pei-Guang& Xu, Yan. Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses. Complexity. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1143325
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143325