%0 Journal Article %T Existence of positive solutions for a kind of periodic boundary value problem at resonance %A Miros awa Zima and Piotr Dryga %J Boundary Value Problems %D 2013 %I %R 10.1186/1687-2770-2013-19 %X In the paper we provide sufficient conditions for the existence of positive solutions for some second-order differential equation subject to periodic boundary conditions. Our method employs a Leggett-Williams norm-type theorem for coincidences due to O¡¯Regan and Zima. Two examples are given to illustrate the main result of the paper. %K periodic boundary value problem %K positive solution %K coincidence equation %U http://www.boundaryvalueproblems.com/content/2013/1/19/abstract