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An order-type existence theorem and applications to periodic problems

Jifeng Chu1* and Feng Wang12

Author Affiliations

1 Department of Mathematics, Hohai University, Nanjing, 210098, China

2 School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China

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Boundary Value Problems 2013, 2013:37  doi:10.1186/1687-2770-2013-37

Published: 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.

MSC: 34B15.

fixed point index; order-type existence theorem; cone expansion and compression; positive solutions; periodic boundary value problems