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http://dx.doi.org/10.4134/JKMS.2013.50.1.041

EXISTENCE AND CONTROLLABILITY RESULTS FOR NONDENSELY DEFINED STOCHASTIC EVOLUTION DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS  

Ni, Jinbo (Department of Mathematics Anhui University of Science and Technology)
Xu, Feng (Department of Mathematics Anhui University of Science and Technology)
Gao, Juan (Department of Mathematics Anhui University of Science and Technology)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 41-59 More about this Journal
Abstract
In this paper, we investigate the existence and controllability results for a class of abstract stochastic evolution differential inclusions with nonlocal conditions where the linear part is nondensely defined and satisfies the Hille-Yosida condition. The results are obtained by using integrated semigroup theory and a fixed point theorem for condensing map due to Martelli.
Keywords
existence; controllability; stochastic inclusion; integrated semigroup; nondensely defined operator; integral solution;
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