半序空间中增算子的不动点及其应用

Fixed Ponts of Increasing Operators in Ordered Space With Applications

证明了半序空间中增算子的最小最大不动点定理 ,推广和改进了增算子和混合单调算子的某些最近结果 ,并应用于没有任何连续性紧性凹性凸性假定下非线性奇异常微分方程的边值问题·

The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity.