MR2589662
Rathinasamy SAKTHIVEL
Rathinasamy SAKTHIVEL
Approximate Controllability of Impulsive Stochastic Evolution Equations
Funkcialaj Ekvacioj. Serio Internacia
52
2009
381--393
http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-3/52_381.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2589662
In this paper, we study the approximate controllability of nonlinear impulsive stochastic differential equations in a real separable Hilbert space. We prove the approximate controllability of nonlinear impulsive stochastic control systems under the assumption that the corresponding linear system is approximately controllable. By using the stochastic analysis theory and a fixed point strategy, sufficient conditions are formulated and proved. Moreover, an example is also provided to illustrate the effectiveness of the result.
Approximate controllability, Semigroups, Impulsive systems, Stochastic differential equations.
93B05, 60H10.
52-381
2009
Approximate Controllability of Impulsive Stochastic Evolution Equations
Rathinasamy SAKTHIVEL
Rathinasamy SAKTHIVEL
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