%0 Journal Article
%T Existence of solutions to integral type BVPs for second order ODEs on the whole line
%A Yuji Liu
%A Xing Yuan Liu
%J Le Matematiche
%D 2012
%I University of Catania
%X Some integral type   boundary value problems (BVPs) for second order differential equations (ODEs) with one-dimensional   p-Laplacian on the whole line are discussed. Sufficient conditions to guarantee the existence of solutions are established. The emphasis is put on the one-dimensional p-Laplacian term [¦Ñ(t)¦µ(x'(t))]' involved with the nonnegative function ¦Ñ that may satisfy $ ho(0)=0$, and the differential equations are defined on the whole line.
%K Second order differential equation with $p-$Laplacian on the whole line
%K integral type boundary value problem
%K solution
%K fixed point theorem.
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/918