%0 Journal Article %T On a Third-Order Three-Point Boundary Value Problem %A A. Guezane-Lakoud %A N. Hamidane %A R. Khaldi %J International Journal of Mathematics and Mathematical Sciences %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/513189 %X We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results. %U http://www.hindawi.com/journals/ijmms/2012/513189/