Journal of Guangdong University of Technology ›› 2013, Vol. 30 ›› Issue (1): 73-75.doi: 10.3969/j.issn.1007-7162.2013.01.013

• Comprehensive Studies • Previous Articles     Next Articles

Uniqueness and Moment Boundedness of Global Positive Solutions  to the Stochastic Delay Differential Equations

Wang Lin   

  1. School of Applied Mathematics，Guangdong University of Technology, Guangzhou 510520, China
  • Received:2012-10-04 Online:2013-03-30 Published:2013-03-30

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Abstract: It constructs a Lyapunov  function V(x) and then gives the general conditions to obtain unique global positive solutions to nonlinear Stochastic Delay Differential Equations(SDDEs) and at the same time p th-moment boundedness of the solutions. The above work is a practical application of the Khasminskii-Mao theorem.

Key words: global positive solutions; Lyapunov function; moment boundedness

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