Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (4): 469-476.

• Articles • Previous Articles    

ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

Yang Chunpeng   

  1. Dept. of Sys. Sci. and Math., Zhengzhou, University, Zhengzhou, 450052, China
  • Received:1994-11-21 Revised:1995-11-10 Online:1996-12-25 Published:1996-12-25

Abstract: In this paper, we establish a 1-1 correspondence between positive solutions of one class of nonlinear differential equations and a class of harmonic functions.These results give an explicit description of E.B.Dynkin's class Hα of positive harmonic functions.

Key words: Brownian motion, Super-Brownian motion Regular harmonic function

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