奇异二阶微分方程狄利克莱边值问题解的存在及惟一性

The existence and uniqueness for singular Dirichlet boundary value problems

利用混合单调算子给出了奇异二阶微分方程边值问题:x″(t)+λf(t,x(t))=0,t∈(0,1),λ>0;x(0)=x(1)=0(其中f(t,x)∈C((0,1)×[0,+∞),[0,+∞)),非线性项f在x=0可能是奇异的)的新解的存在及惟一性.

By constructing a new method, existence and uniqueness are established for singular boundary value problems for second order ordinary equations. The theorems obtained are very general and complement previous known results.