%0 Journal Article %T An order-type existence theorem and applications to periodic problems %A Jifeng Chu and Feng Wang %J Boundary Value Problems %D 2013 %I %R 10.1186/1687-2770-2013-37 %X Based on the fixed point index and partial order method, one new order-type existence theorem concerning cone expansion and compression is established. As applications, we present sufficient existence conditions for the first and second order periodic problems. %U http://www.boundaryvalueproblems.com/content/2013/1/37/abstract