Abstract
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 Γ y on [ 0 , + ∞ ) × X and the semiflow W generated by the semilinear evolution system on [ 0 , + ∞ ) × X and analysis about all case of impulses, we introduce a reasonable P C -mild solution of semilinear evolution equations with impulses at variable times and prove the local and global existence of the P C -mild solution and study the maximal existence interval of the solution.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
