Ravikumar, K and Ramkumar, K (2022) Trajectory Controllability of stochastic integro-di erential equation with state dependent delay driven by mixed Brownian motion su ered by non-instantaneous impulses. Trajectory Controllability of stochastic integro-di erential equation with state dependent delay driven by mixed Brownian motion su ered by non-instantaneous impulses.

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Official URL: DOI:10.2139/ssrn.4273544

Abstract

We present a framework of studying the mild solution to non-instantaneous impulsive
stochastic integro-di erential equations (SIDEs) with state-dependent delay and the mixed
Brownian motion in Hilbert spaces. The solvability of the proposed stochastic system is obtained
using stochastic analysis, xed point theorems, and the resolvent operators. Furthermore, under
some reasonable assumptions, the Trajectory controllability [T-controllability] of the investigated
system is established using extended Gronwalls inequality. Finally, an example is provided to
demonstrate the theoretical ndings.

Item Type: Article
Uncontrolled Keywords: T-controllability, Non-instantaneous impulse, Stochastic Integro-di erential equation, Mixed Brownian motion, State dependent delay.
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 26 Sep 2025 06:26
Last Modified: 26 Sep 2025 06:26
URI: https://ir.psgcas.ac.in/id/eprint/2437

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