数学物理学报 ›› 1999, Vol. 19 ›› Issue (5): 565-572.

• 论文 • 上一篇    下一篇

Banach空间中二阶脉冲微分-积分方程的解

  

  1. (山东大学数学系 济南 250100)

  • 出版日期:1999-12-05 发布日期:1999-12-05

Solutions of Second Order Impulsive Integro-Differential Equations in Banach Spaces

  1. (Department of Mathematics, Shandong University, Jinan 250100)

  • Online:1999-12-05 Published:1999-12-05

摘要:

该文利用不动点定理研究了Banach空间中二阶脉冲微分-积分方程初值问题解的存在性,推广了文[1]中的结果.

关键词: 脉冲微分-积分方程, Banach空间, 初值问题, 非紧性测度.

Abstract:

In this paper, by use of the fixed point theory, the existence of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces is investigated, and the results in [1] are extended.

Key words: Impulsive integro-differential, Banach spaces, Initial value problem, Measure of noncompactness.

中图分类号: 

  • 45J05,34G20