Approximate controllability of semi-linear stochastic integrodifferential system with multiple delays and Poisson jumps in control. Issue 3 (3rd April 2023)

• Record Type: Journal Article
• Authors: Annamalai, Anguraj; Kasinathan, Ravikumar; Kasinathan, Ramkumar
• Is Part Of: Stochastics. Volume 95:Issue 3(2023)
• Page Start: 465
• Page End: 482
• Publication Date: 2023-04-03
• Subjects: Approximate controllability -- stochastic integrodifferential system -- multiple delays -- Poisson jumps; 34K50 -- 34C29 -- 60H15; Stochastic processes -- Periodicals; Probabilities -- Periodicals; 519.2
• DOI: 10.1080/17442508.2022.2105145
• Languages: English
• ISSNs: 1744-2508

Abstract

Abstract : The objective of this paper is to interpret the approximate controllability of a semi-linear stochastic integrodifferential system with multiple delays and Poisson jumps in control in infinite-dimensional spaces. Sufficient conditions for the approximate controllability of semi-linear control system have been established. The results are obtained using the Banach fixed point theorem and the theory of resolvent operator developed in Grimmer [ Resolvent operator for integral equations in Banach spaces, Trans. Am. Math. Soc. 273 (1982), pp. 333– 349.]. An example is introduced to show the effectiveness of the result.