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

作者：Peng, Y.^*; Xiang, X.; Jiang, Yang

来源：Nonlinear Analysis: Real World Applications , 2010, 11(5): 3984-3992.

DOI：10.1016/j.nonrwa.2010.03.005

• Infinite-dimensional space
• Impulses at variable times
• PC-mild solution
• Semiflow
• Existence

In this paper, a general class of semilinear evolution equations with impulses at variable times on infinite-dimensional Banach spaces is considered. Based on a discussion of the relationship between a curve Gamma(y) on [0, +infinity) x X and the semiflow W generated by the semilinear evolution system on [0, +infinity) x X and analysis about all case of impulses, we introduce a reasonable PC-mild solution of semilinear evolution equations with impulses at variable times and prove the local and global existence of the PC-mild solution and study the maximal existence interval of the solution.

• 出版日期2010-10
• 单位贵州大学