Abstract :
We study the existence of positive solutions for the following boundary value problem on infinite
interval for second-order functional differential equations:
x (t )−px (t )− qx(t) + f (t,xt ) = 0, t∈ [0,∞),
αx(t)− βx (t ) = ξ(t), t ∈ [−τ, 0],
limt→∞x(t) = 0,
and
x (t )−px (t )− qx(t) + f (t,xt,x t ) = 0, t∈ [0,∞),
αx(t)− βx (t ) = ξ(t), t ∈ [−τ, 0],
limt→∞x(t) = 0,
where p,α,β 0, α2 +β2 > 0, and q >0. The fixed point theorem on cone is used.
2003 Elsevier Inc. All rights reserved
