Banach空间中二阶脉冲微分方程多个正解的存在性

摘要

By using the fixed point index theory of completely continuous operators,we investigate the existence of multiple positive solutions for the second order boundary value problem with integral boundary conditions of nonlinear impulsive differential equations on an infinite interval in a Banach space.%利用全连续算子的不动点指数理论,研究了Banach空间中无穷区间上带有积分边值条件的二阶非线性脉冲微分方程多个解的存在性.