An order-type existence theorem and applications to periodic problems
1 Department of Mathematics, Hohai University, Nanjing, 210098, China
2 School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China
Boundary Value Problems 2013, 2013:37 doi:10.1186/1687-2770-2013-37Published: 21 February 2013
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.