%0 Journal Article
%T Existence of solutions to second order ordinary differential equations having finite limits at +/- infinity
%A Cezar Avramescu
%A Cristian Vladimirescu
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X In this article, we study the boundary-value problem $$ ddot{x}=f(t,x,dot{x}), quad x(-infty )=x(+infty), quad dot{x}(-infty) = dot{x}(+infty ),. $$ Under adequate hypotheses and using the Bohnenblust-Karlin fixed point theorem for multivalued mappings, we establish the existence of solutions.
%K Nonlinear boundary-value problem
%K set-valued mappings
%K boundary-value problems on infinite intervals
%U http://ejde.math.txstate.edu/Volumes/2004/18/abstr.html