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

YanLong Yang
JinRong Wang

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.

Full text (pdf)