奇异边值问题的对称正解

Symmetric Positive Solutions to Second-order Singular Boundary Value Problems

讨论了二阶奇异边值问题:-x″=λf(t,x),x(0)=x(1)=0的对称正解的存在性.使用锥不动点定理,得到了方程存在对称正解的若干充分条件,允许f(t,x)在t=0、1或x=0处奇异.

This paper applies the fixed point theorem to the obtaining of sufficient conditions for the existence of symmetric positive solutions to a class of second-order singular boundary value problems： -x″= λf（t,x）, and x （0）= x（1 ）= 0, The results admit that f（t,x） may be singular at or t=0,1 or x=0.