Opuscula Math. 32, no. 3 (2012), 601-616
http://dx.doi.org/10.7494/OpMath.2012.32.3.601
Opuscula Mathematica
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.
- YanLong Yang
- Guizhou University, College of Technology, Guiyang, Guizhou 550004, P.R. China
- JinRong Wang
- Guizhou University, College of Science, Guiyang, Guizhou 550025, P.R. China
- Received: 2011-03-18.
- Revised: 2011-06-28.
- Accepted: 2011-08-02.
