Approximate controllability of second-order non-autonomous stochastic impulsive differential systems. Issue 2 (29th July 2020)

• Record Type: Journal Article
• Authors: Singh, Vikram; Chaudhary, Renu; Pandey, Dwijendra N.
• Is Part Of: Stochastic analysis and applications. Volume 39:Issue 2(2021)
• Page Start: 339
• Page End: 356
• Publication Date: 2020-07-29
• Subjects: Approximate controllability -- evolution family -- impulsive differential equation -- non-autonomous system -- stochastic differential equation; 34G20 -- 34K30 -- 47H10 -- 93B05; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2020.1798251
• Languages: English
• ISSNs: 0736-2994

Abstract

Abstract: This paper is concerned with existence, uniqueness, and approximate controllability of mild solutions to second-order non-autonomous stochastic impulsive differential systems. The impulsive differential systems may provide mathematical models to the phenomena having discontinuous jumps. The main results are carried out by using the generalized Banach contraction principle, evolution family, and stochastic analysis. Finally, an example is given to illustrate the results.