Directory UMM :Journals:Journal_of_mathematics:EJQTDE:

Electronic Journal of Qualitative Theory of Differential Equations
2009, No. 70, 1-4; http://www.math.u-szeged.hu/ejqtde/

Three point boundary value problem for singularly perturbed
semilinear differential equations
R´obert Vr´abel’

Abstract
In this paper, we investigate the problem of existence and asymptotic behavior of
solutions for the nonlinear boundary value problem
ǫy ′′ + ky = f (t, y),

t ∈ ha, bi,

k < 0,

0 < ǫ