Controllability for Neutral Stochastic Functional Integrodifferential Infinite Delay Systems in Abstract Space |
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| Authors: | J Y Park N Kumaresan |
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| Institution: | 1. Department of Mathematics , Pusan National University , Pusan, Korea;2. Department of Mathematics , Gandhigram Rural University , Gandhigram, Tamilnadu, India |
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| Abstract: | In this paper, sufficient conditions are given for the controllability of a class of neutral stochastic functional integrodifferential equations with infinite delay in abstract space. The Nussbaum fixed point theorem is adapted to obtain the controllability results, which greatly extends the previous results to the stochastic settings with the help of analytic semigroups. An example is provided to illustrate the theory. |
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| Keywords: | Analytic semigroup Controllability Hilbert space Neutral stochastic differential equations Nussbaum fixed point |
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