J4 ›› 2010, Vol. 45 ›› Issue (2): 26-30.

• Articles • Previous Articles     Next Articles

Existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay at phase space Ch

  

  1. School of Sciences, Anhui Agricultural University, Hefei 230036, Anhui, China
  • Received:2009-04-21 Online:2010-02-16 Published:2010-03-27

Abstract:

It is proved that the existence and  uniqueness of the solution to neutral stochastic functional differential  equations with infinite delay at phase space 
(Ch, |·|h) under some Carathéodorytype conditions on the coefficients by means of the Picard approximations.

Key words: neutral stochastic functional differential equations; phase space Ch; Carathéodory-type conditions

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