具有变号非线性项的奇异三点边值问题正解的存在性和不存在性

The Nonexistence and Existence of Singular Three-point Boundary Value Problems with Sign-changing Nonlinearities

该文讨论奇异三点边值问题y"(t)+a(t)f(t,y(t),y'(t))=0,0<t<1,y'(0)=0,y(1)=αy(η)正解的存在与不存在性,这里0<α<1.0<η<1,f变号且在y=0和y'=0具有奇异性.

This paper discusses singular three-point boundary value problems y＂（t） ＋ a（t）f（t,y（t）,y＇（t）） = 0,0t1, y＇（0）=0,y（1） =αy（η）, where 0αl,0ηl,f changes sign and may be singular at y = 0 and y＇ = 0