二阶边值问题的解(英文)

Solvability of the Second-order Boundary Value Problems

利用Lery-Schauder不动点定理讨论了当m是一切自然数,G是一般的增算子时二阶边值问题((G(y))′+p(t)ym)′+q(t)f(t,y)=p′ym,0<t<1,y(0)=0,y(1)=b0>0解的存在性.

For all natural number m and increasing operator G, we consider the existence of solutions for a class of second-order boundary value problems（BVP） ： {（（G（y））＇＋p（t）y^m）＇＋q（t）f（t,y）=p＇y^m,0〈t〈1, y（0）=0,y（1）=b0〉0 The proof of our main result is based on the Lery-Schauder continuation theorem.