【摘要】 本文利用锥拉伸与压缩不动点定理,在非线性项一个为超线性另一个有界及非线性项一个可以分解为超线性与次线性另一个有界的情况下,给出一类奇异二阶边值问题有一阶可导正解的充分必要条件,推广并改进了一些已知的结果.更多还原

【Abstract】 In this paper,by using the tensile and the compression fixed-piont theorems in cone,a necessary and sufficient condition for the existence for the following nonlinear singular second-order boundry problem, the is obtained under the condition that the nonlinear term is super-linear or sub-linear, or the nonlinear term is decomposed into super-linear and sub-linear,which imposed some known results.更多还原