Ravikumar, K and Ramkumar, K and Varshini, S (2022) Trajectory Controllability of stochastic integro-differential equation with state dependent delay driven by mixed Brownian motion suffered by non-instantaneous impulses. Trajectory Controllability of stochastic integro-differential equation with state dependent delay driven by mixed Brownian motion suffered by non-instantaneous impulses.

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Trajectory Controllability of Stochastic Integro-Differential Equation with State Dependent Delay Driven by Mixed Brownian Motion Suffered by Non-Instantaneous Impulses.pdf - Published Version
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Abstract

We present a framework of studying the mild solution to non-instantaneous impulsive
stochastic integro-differential 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, fixed point theorems, and the resolvent operators. Furthermore, under
some reasonable assumptions, the Trajectory controllability [T-controllability] of the investigated
system is established using extended Gronwall’s inequality. Finally, an example is provided to
demonstrate the theoretical findings

Item Type: Article
Uncontrolled Keywords: T-controllability, Non-instantaneous impulse, Stochastic Integro-differential equation, Mixed Brownian motion, State dependent delay
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 25 Apr 2025 10:44
Last Modified: 25 Apr 2025 10:44
URI: https://ir.psgcas.ac.in/id/eprint/2397

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