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http://dx.doi.org/10.14403/jcms.2021.34.4.355

CONTROLLABILITY FOR SEMILINEAR STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAYS IN HILBERT SPACES  

Kim, Daewook (Department of Mathematics Education Seowon University)
Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.34, no.4, 2021 , pp. 355-368 More about this Journal
Abstract
In this paper, we investigate necessary and sufficient conditions for the approximate controllability for semilinear stochastic functional differential equations with delays in Hilbert spaces without the strict range condition on the controller even though the equations contain unbounded principal operators, delay terms and local Lipschitz continuity of the nonlinear term.
Keywords
approximate controllability; stochastic differential equations; retarded control system; reachable set; analytic semigroup;
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