Opuscula Math. 32, no. 3 (2012), 601-616
Existence results for mild solutions of impulsive periodic systems
Abstract. By applying the Horn's fixed point theorem, we prove the existence of \(T_0\)-periodic \(PC\)-mild solution of impulsive periodic systems when \(PC\)-mild solutions are ultimate bounded.
Keywords: impulsive periodic systems, \(T_0\)-periodic \(PC\)-mild solution, Horn's fixed point theorem, existence.
Mathematics Subject Classification: 47J35.