Eigenvalue criteria for existence of multiple positive solutions to boundary value problems of second-order delay differential equations

Criteria are established for existence of multiple positive solutions to the boundary value problems expressed by second-order delay differential equations of the form   − p(t)y (t ) + q(t)y(t) = f t,y(t − τ),y(t + a) , t∈ (0, 1), αy(t )− βy (t ) = η(t), t ∈ [−τ, 0], γy(t)+ δy (t ) = ξ(t), t ∈ [1, 1 + a], where 0 < τ,a <1/4 are suitably small, p ∈ C1[0, 1], p >0, q ∈ C[0, 1], and q 0.  2004 Elsevier Inc. All rights reserved.