• Title/Summary/Keyword: Functional paper

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A NOTE ON FUNCTIONAL LIMIT THEOREM FOR THE INCREMENTS OF FBM IN SUP-NORM

  • Hwang, Kyo-Shin
    • East Asian mathematical journal
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    • v.24 no.3
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    • pp.275-287
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    • 2008
  • In this paper, using large deviation results for Gaussian processes, we establish some functional limit theorems for increments of a fractional Brownian motion in the usual sup-norm via estimating large deviation probabilities for increments of a fractional Brownian motion.

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CONTROL PROBLEMS FOR NONLINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun;Kim, Han-Geul
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.445-453
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    • 2007
  • This paper deals with the approximate controllability for the nonlinear functional differential equations with time delay and studies a variation of constant formula for solutions of the given equations.