• Title/Summary/Keyword: nondensely defined operator

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

  • Ni, Jinbo;Xu, Feng;Gao, Juan
    • Journal of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.41-59
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    • 2013
  • 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.