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EXISTENCE OF MILD SOLUTION TO NONLINEAR NEUTRAL STOCHASTIC DIFFERENTIAL SYSTEM WITH DELAY

EXISTENCE OF MILD SOLUTION TO NONLINEAR NEUTRAL STOCHASTIC DIFFERENTIAL SYSTEM WITH DELAY
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摘要 This paper is concerned with the existence of solution to a nonlinear neutral stochastic diferential system with delay in a Hilbert Space. Sufcient conditions for the existence are obtained using the Schaefer fxed point theorem. This paper is concerned with the existence of solution to a nonlinear neutral stochastic diferential system with delay in a Hilbert Space. Sufcient conditions for the existence are obtained using the Schaefer fxed point theorem.
作者 Yong Li
出处 《Annals of Differential Equations》 2013年第3期305-311,共7页 微分方程年刊(英文版)
基金 supported by the grant of Chongqing Municipal Educational Commission(No.KJ120609) Natural Science Foundation Project of CSTC,2010BB9318 CQ CSTC,2009BB3057 the Ph.D.Foundation of Chongqing Normal University under Grants No.09XLB007
关键词 mild solution neutral stochastic diferential system fxed point DELAY mild solution neutral stochastic diferential system fxed point delay
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参考文献5

  • 1Balasubramaniam P,Vinayagam D.Existence of solutions of nonlinear neutral stochastic differential inclusions in a Hilbert space[].Stochastic Analysis and Applications.2005
  • 2P. Balasubramaniam.Existence of solution of functional stochastic differential inclusions[].Tamkang Journal of Mathematics.2002
  • 3Da Prato G,Zabczyk J.Stochastic Equations in Infinite Dimensions[].Encyclopedia of Mathematics and its Applications.1992
  • 4Pazy A.Semigroups of Linear Operators and Applications to Partial Differential Equations[].Journal of Applied Mathematics.1983
  • 5Taniguchi.Successive approximations to solutions of stochastic diferential equations[].Journal of Differential Equations.1992

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