Approximate Controllability Results for Second Order Neutral Impulsive Stochastic Evolution Equations of Sobolev Type with Unbounded Delay

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Authors

  • R. Nirmalkumar Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641 020, Tamilnadu, India Author
  • R. Murugesu Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641 020, Tamilnadu, India Author

DOI:

https://doi.org/10.5890/JAND.2019.06.011

Abstract

In this paper, we discuss the approximate controllability of the second order neutral impulsive stochastic evolution equations of Sobolev type with unbounded delay in Hilbert Spaces. A set of sufficient conditions are established for the existence and approximate controllability of the mild solutions using Krasnoselskii-Schaefer-type fixed point theorem and stochastic analysis theory. An application involving nonlinear differential equation with unbounded delay is addressed.

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Nirmalkumar, R., & Murugesu, R. (2026). Approximate Controllability Results for Second Order Neutral Impulsive Stochastic Evolution Equations of Sobolev Type with Unbounded Delay. Journal of Applied Nonlinear Dynamics, 8(2), 291-304. https://doi.org/10.5890/JAND.2019.06.011