A class of differential equations with impulses at variable times on Banach spaces

作者：Peng Y^*; Xiang X; Wang C

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(12): E1312-E1319.

DOI：10.1016/j.na.2009.01.138

• Impulses at variable times
• Mild solution
• Existence
• Uniqueness
• Pulse phenomena

In this paper, two typical classes of semilinear evolution equation with impulses at variable times on infinite dimensional spaces are considered. Introducing the reasonable PC-mild solutions, we discuss the local existence, maximal existence interval, global existence of PC-mild solution for two models. In addition to the pulse phenomena, an example is given for demonstration.

• 出版日期2009-12-15
• 单位贵州大学