Averaging of neutral stochastic partial functional differential equations involving delayed impulses. Issue 18 (12th December 2022)

• Record Type: Journal Article
• Authors: Liu, Jiankang; Xu, Wei; Guo, Qin
• Is Part Of: Applicable analysis. Volume 101:Issue 18(2022)
• Page Start: 6435
• Page End: 6450
• Publication Date: 2022-12-12
• Subjects: Averaging principle -- impulsive systems -- neutral stochastic partial functional differential equations -- delayed impulses; 60H15 -- 93E03 -- 34K50 -- 34F05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1929931
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we initiate a study on averaging principles for neutral stochastic partial functional differential equations (NSPFDEs) with delayed impulses. With the aid of inequality techniques, the semigroup approach and some technical transformations, we derive an averaging principle for a class of NSPFDEs involving delayed impulses. The results obtained ensure that one can focus on the averaged autonomous system without impulses in place of the original system, thus providing an effective way for reducing complexity. In the end, an example is worked out to demonstrate the theoretical results.