Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 139, pp. 1-9.
Title: Solvability of a three-point nonlinear boundary-value problem
Authors: Assia Guezane-Lakoud (Univ. Badji Mokhtar, Annaba, Algeria)
Smail Kelaiaia (Univ. Badji Mokhtar, Annaba, Algeria)
Abstract:
Using the Leray Schauder nonlinear alternative, we prove the
existence of a nontrivial solution for the three-point
boundary-value problem
$$\displaylines{
u''+f(t,u)= 0,\quad 0