一类非线性三阶三点边值问题的多个正解

Multiple Positive Solutions for a Nonlinear Third-order Three-point Boundary Value Problem

利用Williams-Leggett不动点定理,讨论非线性三阶三点边值问题u″'(t)+h(t)f(u(t))=0,0≤t≤1 u(0)=u'(0)=0,u(1)=αu'(η),获得到了至少三个正解的存在性结果。

The following nonlinear third-order three-point boundary value problem was studied{u″＇（ t） ＋ h（ t） f（ u（ t）） = 0,0 ≤ t ≤ 1 （0） = u＇（0） = 0,u（1） = αu＇（ η）,by using the Williams-Leggett fixed-point theorem; the new existence uresults of three positive solutions was obtained.