一类奇异非线性边界值问题正解的存在性和非唯一性

Existence and Nonuniqueness of Positve Solutions to a Class of Singular Nonlinear Boundary Value Problems

中文关键词:  正解  非唯一解  奇异边界值问题

英文关键词:positive solutions  nonunique solutions  singular boundary value problem.

中文摘要:

      本文研究了一类奇异非线性边界值问题ｇ^ｐ（ｘ）ｇ″（ｘ）＋ｈ（ｘ）＝０，－ｋ＜ｘ＜１，ｇ′（－ｋ）＝Ｃ，ｇ（１）＝０，ｋ＞０正解的存在性和非唯一性．问题起源于幂律流体理论中著名的边界层方程．

英文摘要:

      This paper studies the existence and nonuniqueness of positive solutions for a class of singular nonlinear boundary value problems ｇ^ｐ（ｘ）ｇ″（ｘ）＋ｈ（ｘ）＝０，－ｋ＜ｘ＜１，ｇ′（－ｋ）＝Ｃ，ｇ（１）＝０，ｋ＞０ which originates from the famous boundary layer equation in the theory of power law fluids.