Banach空间中二阶脉冲微分方程边值问题极解的存在性

摘要

采用上下解方法和单调速代技巧研究Banach空间中二阶脉冲微分方程边值问题,并建立其极大解和极小解的存在性定理.%A monotone iterative technique in the presence of lower and upper solutions is used to discuss the existence to the boundary value problems of impulsive differential equations in a Banach space. Under wide monotone conditions and the noncompactness measure condition of nonlinearity and impulsive function, we obtain the existence of extreme solutions between lower and upper solutions.