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ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS
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摘要 In this paper, we establish a 1-1 correspondence between positive solutionsof one class of nonlinear differential equations and a class of harmonic functions.These results give an explicit description of E.B.Dynkin's class Ha of positive harmonic functions. In this paper, we establish a 1-1 correspondence between positive solutionsof one class of nonlinear differential equations and a class of harmonic functions.These results give an explicit description of E.B.Dynkin's class Ha of positive harmonic functions.
作者 杨春鹏
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第4期469-476,共8页 数学物理学报(B辑英文版)
关键词 Brownian motion Super-Brownian motion Regular harmonic function. Brownian motion,Super-Brownian motion Regular harmonic function.
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