关键词: 锥, 奇异, 正解, 不动点定理

Abstract: By using the fixed point theorem of cone expansion and compression, we studied the secondorder singular boundary value problem with general differential operator, in which the coefficients of linear differential operator were also allowed to be singular. We obtained the existence result of at least one positive solution under the nonlinearity satisfying either superlinear or sublinear conditions, and gave an example to test the validity of the result.

Key words: positive solution,  cone, singular, fixed point theorem