J4 ›› 2013, Vol. 48 ›› Issue (3): 73-79.

• Articles • Previous Articles     Next Articles

Existence and uniqueness of the solution to neutral stochastic functional differential equations under non-Lipschitz conditionswith infinite delay at phase space Ch

YUE Chao-hui, ZHANG Chang-qin*, WU Jian   

  1. School of Sciences, Anhui Agricultural University, Hefei 230036, Anhui, China
  • Received:2012-08-30 Online:2013-03-20 Published:2013-03-14

Abstract:

The existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay at phase space (Ch, |·|h) under nonLipschitz conditions on the coefficients was proved by means of the Picard approximations.

Key words: neutral stochastic functional differential equations; phase space Ch; non-Lipschitz conditions

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