四阶奇异边值问题无穷多个正解存在性的一个注记

A Note on the Existence of Multiple Positive Solutionsof Fourth Order Singular Boundary Value Problems

本文考虑四阶奇异边值问题x( 4 ) =λa(t) f (t,x(t) ) ,0 <t<1,x(0 ) =x(1) =0 ,x″(0 ) =x″(1) =0 ,当λ属于某一区间时 。

In this paper, singular boundary value problems of fourth order differential equations are studied x (4) =λa(t)f(t,x(t)),0<t<1, x(0)=x(1)=0,x″(0)=x″(1)=0, where λ >0 is a real parameter, the sufficient conditions are obtained for the existence of infinitely many positive solutions about this problem for λ on a suitable interval.