一类二阶奇异边值问题的正解

POSITIVE SOLUTIONS OF A SINGULAR NONLINEAR TWO-ORDER BOUNDARY VALUE PROBLEM

应用锥上不动点定理,建立了一类二阶奇异非线性边值问题的正解的一个存在性定理．

By simple application of the fixed - point theorem in cones, an existence theorem of positive solution is established to a singular nonlinear Tow -order boundary value problem u^n（t）＋a（t）f（u）=0,0〈t〈1 au（0）-βu＇（0）=0,γu（1）＋δu＇（1）=0 where α,β,γ≥0,δ〉0 is a constant,α∈C（（0,1）[0,∞））,f∈C（[0,＋∞）,[0＋∞））.