Banach空间无界域上二阶脉冲积分微分方程的解

基金项目: 国家自然科学基金资助项目(10572057)

Solutions for Second Order Impulsive Integro-Differential Equation on Unbounded Domains in Banach Spaces

School of Science, Nanjing University of Aeronautics and Austronautics, Nanjing 210016, P. R. China;

摘要: 在比较宽松的条件下,研究了Banach空间中二阶脉冲积分微分方程在正半实轴上具有无穷个脉冲点的初值问题的解的存在性．利用递归法、Tonelii序列和局部凸拓扑,建立了新的存在性定理,对郭大钧的结果做了本质改进．
- 脉冲积分微分方程 /
- Tonelii序列 /
- 局部凸拓扑 /
- 非紧性测度
Abstract: Under loose conditions,the existence of solutions to initial value problem are studied for second order impulsive integro_differential equation with infinite moments of impulse effect on the positive half real axis in Banach spaces.By the use of recurrence method,Tonelii sequence and the locally convex topology,the new existence theorems are achieved,which improve the related results obtained by GUO Da_jun.
- impulsive integro_differential equation /
- Tonelii sequence /
- locally convex topology /
- measure of noncompactness

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