Ramkumar Kasinathan3 (2023) Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators. Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators, 25 (3). pp. 467-495.

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Abstract

In this work, we investigate the existence of a mild solution
and the approximate controllability of non-instantaneous impulsive
stochastic integrodifferential equations driven by the
Rosenblatt process in Hilbert space with the Hurst parameter
H ∈ (1/2, 1). We achieve the result using the semigroup
theory of bounded linear operators, Grimmer’s resolvent operator
theory, and stochastic analysis. Using Krasnoselskii’s
and Schauder’s fixed point theorems, we demonstrate the existence
of mild solutions and the approximate controllability
of the system. Finally, an example shows the potential for
significant results.
RESUMEN

Item Type: Article
Additional Information: ©2023 E. Kpizim et al. This open access article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Uncontrolled Keywords: Approximate controllability, fixed point theorem, Rosenblatt process, stochastic integrodifferential equations, resolvent operator, non-instantaneous impulses.
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 22 Apr 2024 08:16
Last Modified: 22 Apr 2024 08:16
URI: http://ir.psgcas.ac.in/id/eprint/2140

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