ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (4): 469-476.

• 论文 • 上一篇

ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

杨春鹏

Dept. of Sys. Sci. and Math., Zhengzhou, University, Zhengzhou, 450052, China

收稿日期:1994-11-21 修回日期:1995-11-10 出版日期:1996-12-25 发布日期:1996-12-25

ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

Yang Chunpeng

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

摘要/Abstract

摘要： 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 H_α of positive harmonic functions.

关键词: Brownian motion, Super-Brownian motion Regular harmonic function

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 H_α of positive harmonic functions.

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

杨春鹏. ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 1996, 16(4): 469-476.

Yang Chunpeng. ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 1996, 16(4): 469-476.

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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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