Topological properties of C0 $C^{0}$-solution set for impulsive evolution inclusions

Abstract

Abstract In this paper, we study the topological properties to a C0 $C^{0}$-solution set of impulsive evolution inclusions. The definition of C0 $C^{0}$-solutions for impulsive functional evolution inclusions is introduced. The Rδ $R_{\delta}$-property of C0 $C^{0}$-solution set is studied for compact as well as noncompact semigroups on compact intervals. Applying the inverse limit method, the Rδ $R_{\delta}$-structure on noncompact intervals is obtained.

Keywords

• Impulsive evolution inclusions
• C 0 $C^{0}$ -solution
• Topological structure
• R δ $R_{\delta}$ -structure
• Compactness