Controllability for Neutral Stochastic Functional Integrodifferential Infinite Delay Systems in Abstract Space

DOI10.1080/01630560701563875zbMath1130.93018OpenAlexW2008253600MaRDI QIDQ5438287

N. Kumaresan, Jong Yeoul Park, Pagavathigounder Balasubramaniam

Publication date: 23 January 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701563875

zbMATH Keywords

controllabilityHilbert spaceanalytic semigroupneutral stochastic differential equationsNussbaum fixed point

Mathematics Subject Classification ID

Controllability (93B05) Adaptive control/observation systems (93C40) Control/observation systems in abstract spaces (93C25) Stochastic systems in control theory (general) (93E03)

Related Items (13)

Controllability of neutral stochastic integro-differential evolution equations driven by a fractional Brownian motion ⋮ Approximate controllability of stochastic impulsive functional systems with infinite delay ⋮ The existence, uniqueness, and controllability of neutral stochastic delay partial differential equations driven by standard Brownian motion and fractional Brownian motion ⋮ Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke's subdifferential type ⋮ The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm ⋮ Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions ⋮ Controllability for impulsive neutral stochastic delay partial differential equations driven by fBm and Lévy noise ⋮ Approximate controllability of a second-order neutral stochastic differential equation with state-dependent delay ⋮ On the Controllability of Nonlocal Second-Order Impulsive Neutral Stochastic Integro-Differential Equations with Infinite Delay ⋮ Complete controllability of impulsive stochastic integrodifferential systems in Hilbert space ⋮ Unnamed Item ⋮ Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay ⋮ Controllability of McKean–Vlasov Stochastic Integrodifferential Evolution Equation in Hilbert Spaces

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Controllability of stochastic linear systems
• Controllability of linear stochastic systems
• Controllability of stochastic semilinear functional differential equations in Hilbert spaces.
• Controllability of semilinearstochastic delay evolution equations in Hilbert spaces
• Some remarks about stochastic controllability
• On stochastic controllability for nonlinear systems
• Controllability of linear stochastic systems
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
• On the controllability of a class of nonlinear stochastic systems

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